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131121430032 = 24317373430799
BaseRepresentation
bin111101000011101110…
…0100011111000010000
3110112110002002210102110
41322013130203320100
54122014041230112
6140123015145320
712321211523445
oct1720734437020
9415402083373
10131121430032
11506766a110a
12214b4375240
13c4983197b8
1464bc3c59cc
15362652e13c
hex1e87723e10

131121430032 has 80 divisors (see below), whose sum is σ = 359618054400. Its totient is φ = 41025755136.

The previous prime is 131121430031. The next prime is 131121430051. The reversal of 131121430032 is 230034121131.

It is a junction number, because it is equal to n+sod(n) for n = 131121429990 and 131121430008.

It is not an unprimeable number, because it can be changed into a prime (131121430031) 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, 88969 + ... + 519767.

It is an arithmetic number, because the mean of its divisors is an integer number (4495225680).

Almost surely, 2131121430032 is an apocalyptic number.

131121430032 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 131121430032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179809027200).

131121430032 is an abundant number, since it is smaller than the sum of its proper divisors (228496624368).

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

131121430032 is a wasteful number, since it uses less digits than its factorization.

131121430032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431200 (or 431194 counting only the distinct ones).

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

Adding to 131121430032 its reverse (230034121131), we get a palindrome (361155551163).

The spelling of 131121430032 in words is "one hundred thirty-one billion, one hundred twenty-one million, four hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 373 408 746 816 1119 1492 2238 2984 4476 5968 6341 8952 12682 17904 19023 25364 38046 50728 76092 101456 152184 304368 430799 861598 1292397 1723196 2584794 3446392 5169588 6892784 7323583 10339176 14647166 20678352 21970749 29294332 43941498 58588664 87882996 117177328 160688027 175765992 321376054 351531984 482064081 642752108 964128162 1285504216 1928256324 2571008432 2731696459 3856512648 5463392918 7713025296 8195089377 10926785836 16390178754 21853571672 32780357508 43707143344 65560715016 131121430032