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113253431004 = 22327312467657
BaseRepresentation
bin110100101111001101…
…1100011011011011100
3101211022211022101200200
41221132123203123130
53323420334243004
6124010010023500
711116345165020
oct1513633433334
9354284271620
10113253431004
1144037677a6a
1219b48417b90
13a8ab5556cc
1456a531a380
152e2ca4c239
hex1a5e6e36dc

113253431004 has 108 divisors (see below), whose sum is σ = 338071838832. Its totient is φ = 31314245760.

The previous prime is 113253430987. The next prime is 113253431021. The reversal of 113253431004 is 400134352311.

It is a happy number.

113253431004 is a `hidden beast` number, since 113 + 2 + 534 + 3 + 10 + 0 + 4 = 666.

113253431004 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 (113253430987) and next prime (113253431021).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8344 + ... + 476000.

It is an arithmetic number, because the mean of its divisors is an integer number (3130294804).

Almost surely, 2113253431004 is an apocalyptic number.

113253431004 is a gapful number since it is divisible by the number (14) 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 113253431004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169035919416).

113253431004 is an abundant number, since it is smaller than the sum of its proper divisors (224818407828).

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

113253431004 is a wasteful number, since it uses less digits than its factorization.

113253431004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467736 (or 467700 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 113253431004 its reverse (400134352311), we get a palindrome (513387783315).

The spelling of 113253431004 in words is "one hundred thirteen billion, two hundred fifty-three million, four hundred thirty-one thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 961 1116 1302 1922 1953 2604 2883 3844 3906 5766 6727 7812 8649 11532 13454 17298 20181 26908 34596 40362 60543 80724 121086 242172 467657 935314 1402971 1870628 2805942 3273599 4208913 5611884 6547198 8417826 9820797 13094396 14497367 16835652 19641594 28994734 29462391 39283188 43492101 57989468 58924782 86984202 101481569 117849564 130476303 173968404 202963138 260952606 304444707 405926276 449418377 521905212 608889414 898836754 913334121 1217778828 1348255131 1797673508 1826668242 2696510262 3145928639 3653336484 4044765393 5393020524 6291857278 8089530786 9437785917 12583714556 16179061572 18875571834 28313357751 37751143668 56626715502 113253431004