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113220402432 = 2832911344987
BaseRepresentation
bin110100101110001110…
…1100011110100000000
3101211020112011101000020
41221130131203310000
53323333410334212
6124002430053440
711115464353554
oct1513435436400
9354215141006
10113220402432
114401aa69125
1219b3934a280
13a8a4760087
1456a0b9d864
152e29bc5d8c
hex1a5c763d00

113220402432 has 144 divisors (see below), whose sum is σ = 314487714240. Its totient is φ = 36115480576.

The previous prime is 113220402377. The next prime is 113220402433. The reversal of 113220402432 is 234204022311.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113220402433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2494243 + ... + 2539229.

It is an arithmetic number, because the mean of its divisors is an integer number (2183942460).

Almost surely, 2113220402432 is an apocalyptic number.

113220402432 is a gapful number since it is divisible by the number (12) 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 113220402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157243857120).

113220402432 is an abundant number, since it is smaller than the sum of its proper divisors (201267311808).

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

113220402432 is a wasteful number, since it uses less digits than its factorization.

113220402432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45148 (or 45134 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 113220402432 its reverse (234204022311), we get a palindrome (347424424743).

The spelling of 113220402432 in words is "one hundred thirteen billion, two hundred twenty million, four hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 113 116 128 174 192 226 232 256 339 348 384 452 464 678 696 768 904 928 1356 1392 1808 1856 2712 2784 3277 3616 3712 5424 5568 6554 7232 7424 9831 10848 11136 13108 14464 19662 21696 22272 26216 28928 39324 43392 44987 52432 78648 86784 89974 104864 134961 157296 179948 209728 269922 314592 359896 419456 539844 629184 719792 838912 1079688 1258368 1304623 1439584 2159376 2516736 2609246 2879168 3913869 4318752 5083531 5218492 5758336 7827738 8637504 10167062 10436984 11516672 15250593 15655476 17275008 20334124 20873968 30501186 31310952 34550016 40668248 41747936 61002372 62621904 81336496 83495872 122004744 125243808 147422399 162672992 166991744 244009488 250487616 294844798 325345984 333983488 442267197 488018976 500975232 589689596 650691968 884534394 976037952 1001950464 1179379192 1301383936 1769068788 1952075904 2358758384 3538137576 3904151808 4717516768 7076275152 9435033536 14152550304 18870067072 28305100608 37740134144 56610201216 113220402432