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131801056 = 25291091303
BaseRepresentation
bin1111101101100…
…01111111100000
3100012000012001121
413312301333200
5232220113211
621024542024
73160201432
oct766617740
9305005047
10131801056
11684420a2
1238181914
13213c94ba
141370c652
15b887271
hex7db1fe0

131801056 has 48 divisors (see below), whose sum is σ = 271101600. Its totient is φ = 62995968.

The previous prime is 131801041. The next prime is 131801071. The reversal of 131801056 is 650108131.

It is an interprime number because it is at equal distance from previous prime (131801041) and next prime (131801071).

It is a self number, because there is not a number n which added to its sum of digits gives 131801056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100501 + ... + 101803.

It is an arithmetic number, because the mean of its divisors is an integer number (5647950).

Almost surely, 2131801056 is an apocalyptic number.

131801056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131801056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135550800).

131801056 is an abundant number, since it is smaller than the sum of its proper divisors (139300544).

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

131801056 is a wasteful number, since it uses less digits than its factorization.

131801056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 131801056 is about 11480.4641021171. The cubic root of 131801056 is about 508.9084124165.

Adding to 131801056 its reverse (650108131), we get a palindrome (781909187).

The spelling of 131801056 in words is "one hundred thirty-one million, eight hundred one thousand, fifty-six".

Divisors: 1 2 4 8 16 29 32 58 109 116 218 232 436 464 872 928 1303 1744 2606 3161 3488 5212 6322 10424 12644 20848 25288 37787 41696 50576 75574 101152 142027 151148 284054 302296 568108 604592 1136216 1209184 2272432 4118783 4544864 8237566 16475132 32950264 65900528 131801056