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130188185127261 = 342986364221103
BaseRepresentation
bin11101100110011111001100…
…100001110100100101011101
3122001221212110110112020210000
4131212133030201310211131
5114031000400343033021
61140515343202204513
736264533406663402
oct3546371441644535
9561855413466700
10130188185127261
1138533554561698
1212727413953739
135784901bba3b1
1424211db0922a9
15100b760669b26
hex7667cc87495d

130188185127261 has 40 divisors (see below), whose sum is σ = 201417932897280. Its totient is φ = 83702187965088.

The previous prime is 130188185127251. The next prime is 130188185127269. The reversal of 130188185127261 is 162721581881031.

130188185127261 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 88 + 185 + 127 + 261 = 666.

It is not a de Polignac number, because 130188185127261 - 29 = 130188185126749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130188185127198 and 130188185127207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130188185127269) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30083365 + ... + 34137738.

It is an arithmetic number, because the mean of its divisors is an integer number (5035448322432).

Almost surely, 2130188185127261 is an apocalyptic number.

It is an amenable number.

130188185127261 is a deficient number, since it is larger than the sum of its proper divisors (71229747770019).

130188185127261 is an equidigital number, since it uses as much as digits as its factorization.

130188185127261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64222007 (or 64221998 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 54.

The spelling of 130188185127261 in words is "one hundred thirty trillion, one hundred eighty-eight billion, one hundred eighty-five million, one hundred twenty-seven thousand, two hundred sixty-one".

Divisors: 1 3 9 27 29 81 87 261 783 863 2349 2589 7767 23301 25027 69903 75081 225243 675729 2027187 64221103 192663309 577989927 1733969781 1862411987 5201909343 5587235961 16761707883 50285123649 55422811889 150855370947 166268435667 498805307001 1496415921003 1607261544781 4489247763009 4821784634343 14465353903029 43396061709087 130188185127261