Search a number
-
+
131377022625 = 353419079421
BaseRepresentation
bin111101001011010101…
…1100100011010100001
3110120002220001020112210
41322112223210122201
54123030004211000
6140204225312333
712330434160402
oct1722653443241
9416086036483
10131377022625
11507979a4662
1221565a956a9
13c509269914
1465043199a9
15363dbba350
hex1e96ae46a1

131377022625 has 64 divisors (see below), whose sum is σ = 224214052608. Its totient is φ = 68276160000.

The previous prime is 131377022599. The next prime is 131377022629. The reversal of 131377022625 is 526220773131.

It is not a de Polignac number, because 131377022625 - 215 = 131376989857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131377022629) 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 63 ways as a sum of consecutive naturals, for example, 13940415 + ... + 13949835.

It is an arithmetic number, because the mean of its divisors is an integer number (3503344572).

Almost surely, 2131377022625 is an apocalyptic number.

131377022625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131377022625 is a deficient number, since it is larger than the sum of its proper divisors (92837029983).

131377022625 is an equidigital number, since it uses as much as digits as its factorization.

131377022625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10387 (or 10377 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

Adding to 131377022625 its reverse (526220773131), we get a palindrome (657597795756).

The spelling of 131377022625 in words is "one hundred thirty-one billion, three hundred seventy-seven million, twenty-two thousand, six hundred twenty-five".

Divisors: 1 3 5 15 25 41 75 123 125 205 375 615 907 1025 2721 3075 4535 5125 9421 13605 15375 22675 28263 37187 47105 68025 111561 113375 141315 185935 235525 340125 386261 557805 706575 929675 1158783 1177625 1931305 2789025 3532875 4648375 5793915 8544847 9656525 13945125 25634541 28969575 42724235 48282625 128172705 144847875 213621175 350338727 640863525 1051016181 1068105875 1751693635 3204317625 5255080905 8758468175 26275404525 43792340875 131377022625