Search a number
-
+
232101132120000 = 26325411132472157
BaseRepresentation
bin110100110001100001000001…
…100010000010111111000000
31010102210122120222002122221200
4310301201001202002333000
5220410221104310320000
62141345442122021200
766613516265242023
oct6461410142027700
91112718528078850
10232101132120000
1167a555a0243850
1222046907647800
139c6807318a800
144145a7cdc11ba
151bc773a65d500
hexd31841882fc0

232101132120000 has 3780 divisors, whose sum is σ = 1009762153284456. Its totient is φ = 50509854720000.

The previous prime is 232101132119977. The next prime is 232101132120017. The reversal of 232101132120000 is 21231101232.

232101132120000 is a `hidden beast` number, since 2 + 321 + 0 + 1 + 1 + 321 + 20 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 1478351159922 + ... + 1478351160078.

Almost surely, 2232101132120000 is an apocalyptic number.

232101132120000 is a gapful number since it is divisible by the number (20) 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 232101132120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504881076642228).

232101132120000 is an abundant number, since it is smaller than the sum of its proper divisors (777661021164456).

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

232101132120000 is a wasteful number, since it uses less digits than its factorization.

232101132120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 232101132120000 its reverse (21231101232), we get a palindrome (232122363221232).

The spelling of 232101132120000 in words is "two hundred thirty-two trillion, one hundred one billion, one hundred thirty-two million, one hundred twenty thousand".