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113161451400 = 233252314149463
BaseRepresentation
bin110100101100011110…
…0101011011110001000
3101211002102020100101200
41221120330223132020
53323223312421100
6123552522344200
711114150315634
oct1513074533610
9354072210350
10113161451400
1143a9a764368
1219b2165b060
13a89548c6ca
145697015dc4
152e2492de00
hex1a58f2b788

113161451400 has 288 divisors, whose sum is σ = 401869278720. Its totient is φ = 28490112000.

The previous prime is 113161451393. The next prime is 113161451401. The reversal of 113161451400 is 4154161311.

113161451400 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 614 + 5 + 1 + 40 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (113161451401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2263069 + ... + 2312531.

It is an arithmetic number, because the mean of its divisors is an integer number (1395379440).

Almost surely, 2113161451400 is an apocalyptic number.

113161451400 is a gapful number since it is divisible by the number (10) 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 113161451400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200934639360).

113161451400 is an abundant number, since it is smaller than the sum of its proper divisors (288707827320).

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

113161451400 is a wasteful number, since it uses less digits than its factorization.

113161451400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49557 (or 49545 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 113161451400 in words is "one hundred thirteen billion, one hundred sixty-one million, four hundred fifty-one thousand, four hundred".