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131122233108 = 22333221376931
BaseRepresentation
bin111101000011101111…
…1100111111100010100
3110112110010121121001000
41322013133213330110
54122014242424413
6140123044303300
712321221406666
oct1720737477424
9415403547030
10131122233108
115067709a509
12214b46a1b30
13c49853b1a9
1464bc554536
15362663c073
hex1e877e7f14

131122233108 has 48 divisors (see below), whose sum is σ = 340052973120. Its totient is φ = 43693725600.

The previous prime is 131122233107. The next prime is 131122233133. The reversal of 131122233108 is 801332221131.

131122233108 is a `hidden beast` number, since 13 + 112 + 223 + 310 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131122233107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159403 + ... + 536333.

It is an arithmetic number, because the mean of its divisors is an integer number (7084436940).

Almost surely, 2131122233108 is an apocalyptic number.

131122233108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131122233108 is an abundant number, since it is smaller than the sum of its proper divisors (208930740012).

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

131122233108 is a wasteful number, since it uses less digits than its factorization.

131122233108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380165 (or 380157 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 131122233108 its reverse (801332221131), we get a palindrome (932454454239).

The spelling of 131122233108 in words is "one hundred thirty-one billion, one hundred twenty-two million, two hundred thirty-three thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 3221 6442 9663 12884 19326 28989 38652 57978 86967 115956 173934 347868 376931 753862 1130793 1507724 2261586 3392379 4523172 6784758 10177137 13569516 20354274 40708548 1214094751 2428189502 3642284253 4856379004 7284568506 10926852759 14569137012 21853705518 32780558277 43707411036 65561116554 131122233108