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113311100322 = 232710731726513
BaseRepresentation
bin110100110000111011…
…1100010110110100010
3101211110211211022010100
41221201313202312202
53324030120202242
6124015430043230
711120645314110
oct1514167426642
9354424738110
10113311100322
1144067186862
1219b637a9516
13a8ba497874
1456acc4cab0
152e32b3e54c
hex1a61de2da2

113311100322 has 96 divisors (see below), whose sum is σ = 284106206592. Its totient is φ = 31969654272.

The previous prime is 113311100239. The next prime is 113311100323. The reversal of 113311100322 is 223001113311.

113311100322 is a `hidden beast` number, since 1 + 1 + 331 + 1 + 10 + 0 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113311100295 and 113311100304.

It is not an unprimeable number, because it can be changed into a prime (113311100323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4260538 + ... + 4287050.

It is an arithmetic number, because the mean of its divisors is an integer number (2959439652).

Almost surely, 2113311100322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113311100322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142053103296).

113311100322 is an abundant number, since it is smaller than the sum of its proper divisors (170795106270).

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

113311100322 is a wasteful number, since it uses less digits than its factorization.

113311100322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26952 (or 26949 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113311100322 its reverse (223001113311), we get a palindrome (336312213633).

The spelling of 113311100322 in words is "one hundred thirteen billion, three hundred eleven million, one hundred thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 107 126 214 317 321 634 642 749 951 963 1498 1902 1926 2219 2247 2853 4438 4494 5706 6657 6741 13314 13482 19971 26513 33919 39942 53026 67838 79539 101757 159078 185591 203514 237433 238617 305271 371182 474866 477234 556773 610542 712299 1113546 1424598 1670319 2136897 2836891 3340638 4273794 5673782 8404621 8510673 16809242 17021346 19858237 25213863 25532019 39716474 50427726 51064038 58832347 59574711 75641589 117664694 119149422 151283178 176497041 178724133 352994082 357448266 529491123 899294447 1058982246 1798588894 2697883341 5395766682 6295061129 8093650023 12590122258 16187300046 18885183387 37770366774 56655550161 113311100322