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21102320112 = 2433713079091
BaseRepresentation
bin10011101001110010…
…111101100111110000
32000110122201221011120
4103221302331213300
5321204143220422
613405543542240
71344635522106
oct235162754760
960418657146
1021102320112
118a49789485
12410b15a980
131cb3b8b663
141042869c76
1583790e45c
hex4e9cbd9f0

21102320112 has 80 divisors (see below), whose sum is σ = 56036687232. Its totient is φ = 6838007040.

The previous prime is 21102320111. The next prime is 21102320191.

21102320112 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 21102320091 and 21102320100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21102320111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2316687 + ... + 2325777.

Almost surely, 221102320112 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 21102320112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28018343616).

21102320112 is an abundant number, since it is smaller than the sum of its proper divisors (34934367120).

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

21102320112 is a wasteful number, since it uses less digits than its factorization.

21102320112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10446 (or 10440 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The spelling of 21102320112 in words is "twenty-one billion, one hundred two million, three hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1307 1776 2614 3921 5228 7842 9091 10456 15684 18182 20912 27273 31368 36364 48359 54546 62736 72728 96718 109092 145077 145456 193436 218184 290154 336367 386872 436368 580308 672734 773744 1009101 1160616 1345468 2018202 2321232 2690936 4036404 5381872 8072808 11881937 16145616 23763874 35645811 47527748 71291622 95055496 142583244 190110992 285166488 439631669 570332976 879263338 1318895007 1758526676 2637790014 3517053352 5275580028 7034106704 10551160056 21102320112