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11210002123212 = 223219411409283697
BaseRepresentation
bin1010001100100000100000…
…1100011100100111001100
31110200122222022200212102200
42203020020030130213030
52432131041020420322
635501445345521500
72234616205604364
oct243101014344714
943618868625380
1011210002123212
113632153a55342
1213106a7043290
136341389c4c19
142aa7d1bad9a4
151468e7caa8ac
hexa320831c9cc

11210002123212 has 144 divisors (see below), whose sum is σ = 30577083919200. Its totient is φ = 3451195883520.

The previous prime is 11210002123147. The next prime is 11210002123241. The reversal of 11210002123212 is 21232120001211.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39372148 + ... + 39655844.

It is an arithmetic number, because the mean of its divisors is an integer number (212340860550).

Almost surely, 211210002123212 is an apocalyptic number.

11210002123212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11210002123212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15288541959600).

11210002123212 is an abundant number, since it is smaller than the sum of its proper divisors (19367081795988).

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

11210002123212 is a wasteful number, since it uses less digits than its factorization.

11210002123212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285176 (or 285171 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11210002123212 its reverse (21232120001211), we get a palindrome (32442122124423).

The spelling of 11210002123212 in words is "eleven trillion, two hundred ten billion, two million, one hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 41 57 76 82 114 123 164 171 228 246 342 369 492 684 738 779 1409 1476 1558 2337 2818 3116 4227 4674 5636 7011 8454 9348 12681 14022 16908 25362 26771 28044 50724 53542 57769 80313 107084 115538 160626 173307 231076 240939 283697 321252 346614 481878 519921 567394 693228 851091 963756 1039842 1097611 1134788 1702182 2079684 2195222 2553273 3292833 3404364 4390444 5106546 5390243 6585666 9878499 10213092 10780486 11631577 13171332 16170729 19756998 21560972 23263154 32341458 34894731 39513996 46526308 48512187 64682916 69789462 97024374 104684193 139578924 194048748 209368386 220999963 399729073 418736772 441999926 662999889 799458146 883999852 1199187219 1325999778 1598916292 1988999667 2398374438 2651999556 3597561657 3977999334 4796748876 7195123314 7594852387 7955998668 14390246628 15189704774 16388891993 22784557161 30379409548 32777783986 45569114322 49166675979 65555567972 68353671483 91138228644 98333351958 136707342966 147500027937 196666703916 273414685932 295000055874 311388947867 590000111748 622777895734 934166843601 1245555791468 1868333687202 2802500530803 3736667374404 5605001061606 11210002123212