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131213776 = 24411391439
BaseRepresentation
bin1111101001000…
…10100111010000
3100010220100110111
413310202213100
5232042320101
621004211104
73152204311
oct764424720
9303810414
10131213776
1168080941
1237b39a94
13212520b5
14135d8608
15b7bd251
hex7d229d0

131213776 has 40 divisors (see below), whose sum is σ = 262483200. Its totient is φ = 63502080.

The previous prime is 131213773. The next prime is 131213783. The reversal of 131213776 is 677312131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131213773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90465 + ... + 91903.

It is an arithmetic number, because the mean of its divisors is an integer number (6562080).

Almost surely, 2131213776 is an apocalyptic number.

131213776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131213776 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

131213776 is a wasteful number, since it uses less digits than its factorization.

131213776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1621 counting only the distinct ones).

The product of its digits is 5292, while the sum is 31.

The square root of 131213776 is about 11454.8581833212. The cubic root of 131213776 is about 508.1514211639.

The spelling of 131213776 in words is "one hundred thirty-one million, two hundred thirteen thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 41 82 139 164 278 328 556 656 1112 1439 2224 2878 5699 5756 11398 11512 22796 23024 45592 58999 91184 117998 200021 235996 400042 471992 800084 943984 1600168 3200336 8200861 16401722 32803444 65606888 131213776