Search a number
-
+
131965108 = 221119433671
BaseRepresentation
bin1111101110110…
…10000010110100
3100012022112002121
413313122002310
5232240340413
621032245324
73161453632
oct767320264
9305275077
10131965108
1168544380
1238240844
1321456082
1413752352
15b8bab8d
hex7dda0b4

131965108 has 48 divisors (see below), whose sum is σ = 271434240. Its totient is φ = 55490400.

The previous prime is 131965081. The next prime is 131965111. The reversal of 131965108 is 801569131.

131965108 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1319651083 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34113 + ... + 37783.

It is an arithmetic number, because the mean of its divisors is an integer number (5654880).

Almost surely, 2131965108 is an apocalyptic number.

It is an amenable number.

131965108 is an abundant number, since it is smaller than the sum of its proper divisors (139469132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131965108 is a wasteful number, since it uses less digits than its factorization.

131965108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748 (or 3746 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The square root of 131965108 is about 11487.6067133237. The cubic root of 131965108 is about 509.1194699770.

The spelling of 131965108 in words is "one hundred thirty-one million, nine hundred sixty-five thousand, one hundred eight".

Divisors: 1 2 4 11 19 22 38 43 44 76 86 172 209 418 473 817 836 946 1634 1892 3268 3671 7342 8987 14684 17974 35948 40381 69749 80762 139498 157853 161524 278996 315706 631412 767239 1534478 1736383 2999207 3068956 3472766 5998414 6945532 11996828 32991277 65982554 131965108