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21024130024112 = 242397592399439
BaseRepresentation
bin1001100011111000011111…
…10011010100001010110000
32202102212221202210011101112
410301330033303110022300
510223424404241232422
6112414204010452452
74266641353422305
oct461741763241260
982385852704345
1021024130024112
116776313334216
12243674a734128
13b9674a7a2347
145298052a90ac
15266d44c23ee2
hex131f0fcd42b0

21024130024112 has 80 divisors (see below), whose sum is σ = 42951187614720. Its totient is φ = 9949578541056.

The previous prime is 21024130024111. The next prime is 21024130024141. The reversal of 21024130024112 is 21142003142012.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (21024130024111) 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, 211377689 + ... + 211477127.

It is an arithmetic number, because the mean of its divisors is an integer number (536889845184).

Almost surely, 221024130024112 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 21024130024112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21475593807360).

21024130024112 is an abundant number, since it is smaller than the sum of its proper divisors (21927057590608).

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

21024130024112 is a wasteful number, since it uses less digits than its factorization.

21024130024112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105490 (or 105484 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 21024130024112 its reverse (21142003142012), we get a palindrome (42166133166124).

The spelling of 21024130024112 in words is "twenty-one trillion, twenty-four billion, one hundred thirty million, twenty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 46 92 97 184 194 368 388 776 1552 2231 4462 5923 8924 11846 17848 23692 35696 47384 94768 99439 136229 198878 272458 397756 544916 574531 795512 1089832 1149062 1591024 2179664 2287097 2298124 4574194 4596248 9148388 9192496 9645583 13214213 18296776 19291166 26428426 36593552 38582332 52856852 77164664 105713704 154329328 211427408 221848409 443696818 588977197 887393636 1177954394 1774787272 2355908788 3549574544 4711817576 9423635152 13546475531 27092951062 54185902124 57130788109 108371804248 114261576218 216743608496 228523152436 457046304872 914092609744 1314008126507 2628016253014 5256032506028 10512065012056 21024130024112