Search a number
-
+
131335564675 = 5272931781637
BaseRepresentation
bin111101001010000110…
…1011010110110000011
3110120000000000221221011
41322110031122312003
54122433401032200
6140200144541351
712326421610630
oct1722415326603
9416000027834
10131335564675
1150776558697
1221554021857
13c5007b25a3
1464dca07187
15363a22b5ba
hex1e9435ad83

131335564675 has 48 divisors (see below), whose sum is σ = 193148976960. Its totient is φ = 86677839360.

The previous prime is 131335564639. The next prime is 131335564681. The reversal of 131335564675 is 576465533131.

It is not a de Polignac number, because 131335564675 - 213 = 131335556483 is a prime.

It is a super-2 number, since 2×1313355646752 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1567957 + ... + 1649593.

It is an arithmetic number, because the mean of its divisors is an integer number (4023937020).

Almost surely, 2131335564675 is an apocalyptic number.

131335564675 is a deficient number, since it is larger than the sum of its proper divisors (61813412285).

131335564675 is a wasteful number, since it uses less digits than its factorization.

131335564675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82000 (or 81995 counting only the distinct ones).

The product of its digits is 3402000, while the sum is 49.

The spelling of 131335564675 in words is "one hundred thirty-one billion, three hundred thirty-five million, five hundred sixty-four thousand, six hundred seventy-five".

Divisors: 1 5 7 25 29 35 145 175 203 317 725 1015 1585 2219 5075 7925 9193 11095 45965 55475 64351 81637 229825 321755 408185 571459 1608775 2040925 2367473 2857295 11837365 14286475 16572311 25878929 59186825 82861555 129394645 181152503 414307775 646973225 750488941 905762515 3752444705 4528812575 5253422587 18762223525 26267112935 131335564675