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30680400132 = 223494692593
BaseRepresentation
bin11100100100101100…
…011100000100000100
32221012011120210220000
4130210230130010010
51000313140301012
622032215241300
72134201045464
oct344454340404
987164523800
1030680400132
1112014316798
125b42979230
132b7c331225
1416b095dba4
15be8728ddc
hex724b1c104

30680400132 has 30 divisors (see below), whose sum is σ = 80204627118. Its totient is φ = 10226799936.

The previous prime is 30680400109. The next prime is 30680400161. The reversal of 30680400132 is 23100408603.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 25681344516 + 4999055616 = 160254^2 + 70704^2 .

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 = 30680400096 and 30680400105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 47345973 + ... + 47346620.

Almost surely, 230680400132 is an apocalyptic number.

It is an amenable number.

30680400132 is an abundant number, since it is smaller than the sum of its proper divisors (49524226986).

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

30680400132 is a wasteful number, since it uses less digits than its factorization.

30680400132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94692609 (or 94692598 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 30680400132 its reverse (23100408603), we get a palindrome (53780808735).

The spelling of 30680400132 in words is "thirty billion, six hundred eighty million, four hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 94692593 189385186 284077779 378770372 568155558 852233337 1136311116 1704466674 2556700011 3408933348 5113400022 7670100033 10226800044 15340200066 30680400132