Search a number
-
+
132100232002200 = 2332527113725759571
BaseRepresentation
bin11110000010010011111011…
…011001110011101010011000
3122022201122210022001102011200
4132002103323121303222120
5114303312233343032300
61144542001522354200
736552632616160350
oct3602237331635230
9568648708042150
10132100232002200
1139100437134870
1212995ab04bb960
135892cc97096a7
142489984821b60
15104136bd3c200
hex7824fb673a98

132100232002200 has 576 divisors, whose sum is σ = 568054203275520. Its totient is φ = 26707522176000.

The previous prime is 132100232002187. The next prime is 132100232002261. The reversal of 132100232002200 is 2200232001231.

132100232002200 is a `hidden beast` number, since 1 + 3 + 210 + 0 + 232 + 0 + 0 + 220 + 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 143 ways as a sum of consecutive naturals, for example, 7751586 + ... + 18007985.

It is an arithmetic number, because the mean of its divisors is an integer number (986205214020).

Almost surely, 2132100232002200 is an apocalyptic number.

132100232002200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132100232002200 is an abundant number, since it is smaller than the sum of its proper divisors (435953971273320).

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

132100232002200 is a wasteful number, since it uses less digits than its factorization.

132100232002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25759648 (or 25759636 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 132100232002200 its reverse (2200232001231), we get a palindrome (134300464003431).

The spelling of 132100232002200 in words is "one hundred thirty-two trillion, one hundred billion, two hundred thirty-two million, two thousand, two hundred".