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131027511703 = 11131283321301
BaseRepresentation
bin111101000000111011…
…0010010100110010111
3110112012112101020200211
41322001312102212113
54121321020333303
6140105422150251
712315661321204
oct1720166224627
9415175336624
10131027511703
1150628683960
1221488a22387
13c481a2521a
1464adb38cab
15361d17b66d
hex1e81d92997

131027511703 has 16 divisors (see below), whose sum is σ = 144539632512. Its totient is φ = 117788580000.

The previous prime is 131027511689. The next prime is 131027511761. The reversal of 131027511703 is 307115720131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131027511703 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131027511403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247153 + ... + 568453.

It is an arithmetic number, because the mean of its divisors is an integer number (9033727032).

Almost surely, 2131027511703 is an apocalyptic number.

131027511703 is a deficient number, since it is larger than the sum of its proper divisors (13512120809).

131027511703 is a wasteful number, since it uses less digits than its factorization.

131027511703 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321726.

The product of its (nonzero) digits is 4410, while the sum is 31.

The spelling of 131027511703 in words is "one hundred thirty-one billion, twenty-seven million, five hundred eleven thousand, seven hundred three".

Divisors: 1 11 131 283 1441 3113 37073 321301 407803 3534311 42090431 90928183 462994741 1000210013 11911591973 131027511703