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113131434 = 231319233319
BaseRepresentation
bin1101011111000…
…11111110101010
321212212200011010
412233203332222
5212430201214
615120444350
72542413153
oct657437652
9255780133
10113131434
1158950359
1231a796b6
131a5907a0
141104c92a
159dea659
hex6be3faa

113131434 has 64 divisors (see below), whose sum is σ = 267724800. Its totient is φ = 31534272.

The previous prime is 113131429. The next prime is 113131441. The reversal of 113131434 is 434131311.

It is a self number, because there is not a number n which added to its sum of digits gives 113131434.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32427 + ... + 35745.

It is an arithmetic number, because the mean of its divisors is an integer number (4183200).

Almost surely, 2113131434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113131434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133862400).

113131434 is an abundant number, since it is smaller than the sum of its proper divisors (154593366).

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

113131434 is a wasteful number, since it uses less digits than its factorization.

113131434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3379.

The product of its digits is 432, while the sum is 21.

The square root of 113131434 is about 10636.3261514491. The cubic root of 113131434 is about 483.6461823431.

Adding to 113131434 its reverse (434131311), we get a palindrome (547262745).

The spelling of 113131434 in words is "one hundred thirteen million, one hundred thirty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 19 23 26 38 39 46 57 69 78 114 138 247 299 437 494 598 741 874 897 1311 1482 1794 2622 3319 5681 6638 9957 11362 17043 19914 34086 43147 63061 76337 86294 126122 129441 152674 189183 229011 258882 378366 458022 819793 992381 1450403 1639586 1984762 2459379 2900806 2977143 4351209 4918758 5954286 8702418 18855239 37710478 56565717 113131434