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131333233032 = 23331773975051
BaseRepresentation
bin111101001010000010…
…0100001100110001000
3110112222211122111112000
41322110010201212020
54122432301424112
6140200022551000
712326363030061
oct1722404414610
9415884574460
10131333233032
1150775205911
1221553298460
13c500177211
1464dc59b568
153639e1a7dc
hex1e94121988

131333233032 has 256 divisors, whose sum is σ = 395680723200. Its totient is φ = 40211251200.

The previous prime is 131333233007. The next prime is 131333233063. The reversal of 131333233032 is 230332333131.

131333233032 is a `hidden beast` number, since 1 + 3 + 1 + 33 + 323 + 303 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131333232987 and 131333233005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25998907 + ... + 26003957.

It is an arithmetic number, because the mean of its divisors is an integer number (1545627825).

Almost surely, 2131333233032 is an apocalyptic number.

131333233032 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 131333233032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197840361600).

131333233032 is an abundant number, since it is smaller than the sum of its proper divisors (264347490168).

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

131333233032 is a wasteful number, since it uses less digits than its factorization.

131333233032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5253 (or 5243 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 131333233032 its reverse (230332333131), we get a palindrome (361665566163).

The spelling of 131333233032 in words is "one hundred thirty-one billion, three hundred thirty-three million, two hundred thirty-three thousand, thirty-two".