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131193354195 = 3252915407871
BaseRepresentation
bin111101000101110111…
…0111011011111010011
3110112122002102220211100
41322023232323133103
54122140444313240
6140134104515443
712323044053051
oct1721356733723
9415562386740
10131193354195
1150703256872
122151447bb83
13c4aa1b0087
1464c7b891d1
15362c9d9e30
hex1e8bbbb7d3

131193354195 has 12 divisors (see below), whose sum is σ = 227401814016. Its totient is φ = 69969788880.

The previous prime is 131193354181. The next prime is 131193354221. The reversal of 131193354195 is 591453391131.

131193354195 is a `hidden beast` number, since 1 + 3 + 1 + 19 + 3 + 3 + 541 + 95 = 666.

It is not a de Polignac number, because 131193354195 - 232 = 126898386899 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2915407871 = 131193354195 / (1 + 3 + 1 + 1 + 9 + 3 + 3 + 5 + 4 + 1 + 9 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 131193354195.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1457703891 + ... + 1457703980.

It is an arithmetic number, because the mean of its divisors is an integer number (18950151168).

Almost surely, 2131193354195 is an apocalyptic number.

131193354195 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131193354195 is a deficient number, since it is larger than the sum of its proper divisors (96208459821).

131193354195 is a wasteful number, since it uses less digits than its factorization.

131193354195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915407882 (or 2915407879 counting only the distinct ones).

The product of its digits is 218700, while the sum is 45.

The spelling of 131193354195 in words is "one hundred thirty-one billion, one hundred ninety-three million, three hundred fifty-four thousand, one hundred ninety-five".

Divisors: 1 3 5 9 15 45 2915407871 8746223613 14577039355 26238670839 43731118065 131193354195