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113202400432 = 24113797179213
BaseRepresentation
bin110100101101101100…
…0111000110010110000
3101211012021021202220111
41221123120320302300
53323314303303212
6124000544151104
711115155345602
oct1513330706260
9354167252814
10113202400432
1144010892a40
1219b33308494
13a8a0ac91c4
14569c635172
152e2831bea7
hex1a5b638cb0

113202400432 has 80 divisors (see below), whose sum is σ = 248270172192. Its totient is φ = 49548533760.

The previous prime is 113202400361. The next prime is 113202400433. The reversal of 113202400432 is 234004202311.

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

It is not an unprimeable number, because it can be changed into a prime (113202400433) 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, 542058 + ... + 721270.

Almost surely, 2113202400432 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 113202400432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124135086096).

113202400432 is an abundant number, since it is smaller than the sum of its proper divisors (135067771760).

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

113202400432 is a wasteful number, since it uses less digits than its factorization.

113202400432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179366 (or 179360 counting only the distinct ones).

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

Adding to 113202400432 its reverse (234004202311), we get a palindrome (347206602743).

The spelling of 113202400432 in words is "one hundred thirteen billion, two hundred two million, four hundred thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 97 148 176 194 296 388 407 592 776 814 1067 1552 1628 2134 3256 3589 4268 6512 7178 8536 14356 17072 28712 39479 57424 78958 157916 179213 315832 358426 631664 716852 1433704 1971343 2867408 3942686 6630881 7885372 13261762 15770744 17383661 26523524 31541488 34767322 53047048 69534644 72939691 106094096 139069288 145879382 191220271 278138576 291758764 382440542 583517528 643195457 764881084 1167035056 1286390914 1529762168 2572781828 3059524336 5145563656 7075150027 10291127312 14150300054 28300600108 56601200216 113202400432