Search a number
-
+
123200333112132 = 22323539694706729
BaseRepresentation
bin11100000000110011010000…
…000101110110001101000100
3121011012211121001010211211100
4130000303100011312031010
5112122003240234042012
61114005241322140100
734643634050614533
oct3400632005661504
9534184531124740
10123200333112132
1136289a71241171
1211999072351630
13539898429b1c3
14225ccdc39a31a
15e39acb6bd8dc
hex700cd0176344

123200333112132 has 36 divisors (see below), whose sum is σ = 312305282600220. Its totient is φ = 40950441219072.

The previous prime is 123200333112029. The next prime is 123200333112163. The reversal of 123200333112132 is 231211333002321.

123200333112132 is a `hidden beast` number, since 1 + 2 + 3 + 200 + 3 + 331 + 121 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19906731196416 + 103293601915716 = 4461696^2 + 10163346^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 123200333112096 and 123200333112105.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4847340657 + ... + 4847366072.

It is an arithmetic number, because the mean of its divisors is an integer number (8675146738895).

Almost surely, 2123200333112132 is an apocalyptic number.

123200333112132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123200333112132 is an abundant number, since it is smaller than the sum of its proper divisors (189104949488088).

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

123200333112132 is a wasteful number, since it uses less digits than its factorization.

123200333112132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9694707092 (or 9694707087 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 123200333112132 its reverse (231211333002321), we get a palindrome (354411666114453).

The spelling of 123200333112132 in words is "one hundred twenty-three trillion, two hundred billion, three hundred thirty-three million, one hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 353 706 1059 1412 2118 3177 4236 6354 12708 9694706729 19389413458 29084120187 38778826916 58168240374 87252360561 116336480748 174504721122 349009442244 3422231475337 6844462950674 10266694426011 13688925901348 20533388852022 30800083278033 41066777704044 61600166556066 123200333112132