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233132212132113 = 3717764762492099
BaseRepresentation
bin110101000000100001010010…
…101100001001100100010001
31010120110012222201001021220110
4311000201102230021210101
5221024114232301211423
62143455243145031533
7100051150355604210
oct6500412254114421
91116405881037813
10233132212132113
11683128a8005868
12221927021855a9
13a0113724c1358
14417d93308b077
151be4485737193
hexd40852b09911

233132212132113 has 16 divisors (see below), whose sum is σ = 355251090585600. Its totient is φ = 133217654895696.

The previous prime is 233132212132103. The next prime is 233132212132139. The reversal of 233132212132113 is 311231212231332.

It is a happy number.

It is not a de Polignac number, because 233132212132113 - 26 = 233132212132049 is a prime.

It is a super-2 number, since 2×2331322121321132 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (233132212132103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27515463 + ... + 34976636.

It is an arithmetic number, because the mean of its divisors is an integer number (22203193161600).

Almost surely, 2233132212132113 is an apocalyptic number.

It is an amenable number.

233132212132113 is a deficient number, since it is larger than the sum of its proper divisors (122118878453487).

233132212132113 is a wasteful number, since it uses less digits than its factorization.

233132212132113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62669756.

The product of its digits is 7776, while the sum is 30.

Adding to 233132212132113 its reverse (311231212231332), we get a palindrome (544363424363445).

The spelling of 233132212132113 in words is "two hundred thirty-three trillion, one hundred thirty-two billion, two hundred twelve million, one hundred thirty-two thousand, one hundred thirteen".

Divisors: 1 3 7 21 177647 532941 1243529 3730587 62492099 187476297 437444693 1312334079 11101533911053 33304601733159 77710737377371 233132212132113