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113234013024 = 25311195643641
BaseRepresentation
bin110100101110101000…
…1011110101101100000
3101211021110202212020020
41221131101132231200
53323400401404044
6124004033513440
711116021141566
oct1513521365540
9354243685206
10113234013024
1144027714a50
1219b41a12880
13a8a7517192
1456a2903a36
152e2aeb3a19
hex1a5d45eb60

113234013024 has 96 divisors (see below), whose sum is σ = 341327468160. Its totient is φ = 32507366400.

The previous prime is 113234013019. The next prime is 113234013029. The reversal of 113234013024 is 420310432311.

It is a happy number.

113234013024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (113234013019) and next prime (113234013029).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 113234012985 and 113234013003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113234013029) 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 15 ways as a sum of consecutive naturals, for example, 2801757 + ... + 2841884.

It is an arithmetic number, because the mean of its divisors is an integer number (3555494460).

Almost surely, 2113234013024 is an apocalyptic number.

It is an amenable number.

113234013024 is an abundant number, since it is smaller than the sum of its proper divisors (228093455136).

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

113234013024 is a wasteful number, since it uses less digits than its factorization.

113234013024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5643684 (or 5643676 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 113234013024 its reverse (420310432311), we get a palindrome (533544445335).

The spelling of 113234013024 in words is "one hundred thirteen billion, two hundred thirty-four million, thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 132 152 176 209 228 264 304 352 418 456 528 608 627 836 912 1056 1254 1672 1824 2508 3344 5016 6688 10032 20064 5643641 11287282 16930923 22574564 33861846 45149128 62080051 67723692 90298256 107229179 124160102 135447384 180596512 186240153 214458358 248320204 270894768 321687537 372480306 428916716 496640408 541789536 643375074 744960612 857833432 993280816 1179520969 1286750148 1489921224 1715666864 1986561632 2359041938 2573500296 2979842448 3431333728 3538562907 4718083876 5147000592 5959684896 7077125814 9436167752 10294001184 14154251628 18872335504 28308503256 37744671008 56617006512 113234013024