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221100201113232 = 243710918233311591
BaseRepresentation
bin110010010001011011100110…
…111100100111011010010000
31001222211222021011120221110010
4302101123212330213122100
5212440001202441110412
62102124010303434520
764366651045446060
oct6221334674473220
91058758234527403
10221100201113232
11644a4083504761
122096a849bb5a40
13964a875c04a9c
143c85441d3b3a0
151a864cc3a033c
hexc916e6f27690

221100201113232 has 160 divisors (see below), whose sum is σ = 659122316328960. Its totient is φ = 62557577648640.

The previous prime is 221100201113137. The next prime is 221100201113359. The reversal of 221100201113232 is 232311102001122.

221100201113232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 221100201113199 and 221100201113208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65109757 + ... + 68421347.

It is an arithmetic number, because the mean of its divisors is an integer number (4119514477056).

Almost surely, 2221100201113232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221100201113232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329561158164480).

221100201113232 is an abundant number, since it is smaller than the sum of its proper divisors (438022115215728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221100201113232 is a wasteful number, since it uses less digits than its factorization.

221100201113232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3313541 (or 3313535 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 221100201113232 its reverse (232311102001122), we get a palindrome (453411303114354).

The spelling of 221100201113232 in words is "two hundred twenty-one trillion, one hundred billion, two hundred one million, one hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 109 112 168 218 327 336 436 654 763 872 1308 1526 1744 1823 2289 2616 3052 3646 4578 5232 5469 6104 7292 9156 10938 12208 12761 14584 18312 21876 25522 29168 36624 38283 43752 51044 76566 87504 102088 153132 198707 204176 306264 397414 596121 612528 794828 1192242 1390949 1589656 2384484 2781898 3179312 3311591 4172847 4768968 5563796 6623182 8345694 9537936 9934773 11127592 13246364 16691388 19869546 22255184 23181137 26492728 33382776 39739092 46362274 52985456 66765552 69543411 79478184 92724548 139086822 158956368 185449096 278173644 360963419 370898192 556347288 721926838 1082890257 1112694576 1443853676 2165780514 2526743933 2887707352 4331561028 5053487866 5775414704 6037030393 7580231799 8663122056 10106975732 12074060786 15160463598 17326244112 18111091179 20213951464 24148121572 30320927196 36222182358 40427902928 42259212751 48296243144 60641854392 72444364716 84518425502 96592486288 121283708784 126777638253 144888729432 169036851004 253555276506 289777458864 338073702008 507110553012 658036312837 676147404016 1014221106024 1316072625674 1974108938511 2028442212048 2632145251348 3948217877022 4606254189859 5264290502696 7896435754044 9212508379718 10528581005392 13818762569577 15792871508088 18425016759436 27637525139154 31585743016176 36850033518872 55275050278308 73700067037744 110550100556616 221100201113232