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13234102024 = 2311213280897
BaseRepresentation
bin11000101001101000…
…00101111100001000
31021011022022001001211
430110310011330020
5204100412231044
610025112422504
7645645003553
oct142464057410
937138261054
1013234102024
11568133a800
1226940a7a34
13132ba39100
148d78a769a
15526c95634
hex314d05f08

13234102024 has 72 divisors (see below), whose sum is σ = 29534646330. Its totient is φ = 5552701440.

The previous prime is 13234102019. The next prime is 13234102031. The reversal of 13234102024 is 42020143231.

It can be written as a sum of positive squares in 3 ways, for example, as 9666429124 + 3567672900 = 98318^2 + 59730^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13234101986 and 13234102004.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 123144 + ... + 204040.

Almost surely, 213234102024 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 13234102024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14767323165).

13234102024 is an abundant number, since it is smaller than the sum of its proper divisors (16300544306).

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

13234102024 is a wasteful number, since it uses less digits than its factorization.

13234102024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80951 (or 80923 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 13234102024 its reverse (42020143231), we get a palindrome (55254245255).

The spelling of 13234102024 in words is "thirteen billion, two hundred thirty-four million, one hundred two thousand, twenty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 169 242 286 338 484 572 676 968 1144 1352 1573 1859 3146 3718 6292 7436 12584 14872 20449 40898 80897 81796 161794 163592 323588 647176 889867 1051661 1779734 2103322 3559468 4206644 7118936 8413288 9788537 11568271 13671593 19577074 23136542 27343186 39154148 46273084 54686372 78308296 92546168 109372744 127250981 150387523 254501962 300775046 509003924 601550092 1018007848 1203100184 1654262753 3308525506 6617051012 13234102024