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129630032961 = 31113417369949
BaseRepresentation
bin111100010111010001…
…1010101010001000001
3110101121010202222020220
41320232203111101001
54110440242023321
6135315021253253
712236232046152
oct1705643252101
9411533688226
10129630032961
114aa80857450
1221158a04229
13c2bb34a220
1463ba2c1929
15358a6339c6
hex1e2e8d5441

129630032961 has 32 divisors (see below), whose sum is σ = 208009468800. Its totient is φ = 70751500800.

The previous prime is 129630032953. The next prime is 129630033107. The reversal of 129630032961 is 169230036921.

It is a happy number.

It is not a de Polignac number, because 129630032961 - 23 = 129630032953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (129630032941) 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 31 ways as a sum of consecutive naturals, for example, 3667386 + ... + 3702563.

It is an arithmetic number, because the mean of its divisors is an integer number (6500295900).

Almost surely, 2129630032961 is an apocalyptic number.

129630032961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

129630032961 is a deficient number, since it is larger than the sum of its proper divisors (78379435839).

129630032961 is a wasteful number, since it uses less digits than its factorization.

129630032961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7370017.

The product of its (nonzero) digits is 104976, while the sum is 42.

The spelling of 129630032961 in words is "one hundred twenty-nine billion, six hundred thirty million, thirty-two thousand, nine hundred sixty-one".

Divisors: 1 3 11 13 33 39 41 123 143 429 451 533 1353 1599 5863 17589 7369949 22109847 81069439 95809337 243208317 287428011 302167909 906503727 1053902707 3161708121 3323846999 3928182817 9971540997 11784548451 43210010987 129630032961