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131110100 = 225211119191
BaseRepresentation
bin1111101000010…
…01010011010100
3100010201002020122
413310021103110
5232031010400
621002051112
73151263122
oct764112324
9303632218
10131110100
116800aa60
1237aa9a98
1321216b54
14135ac912
15b79c685
hex7d094d4

131110100 has 36 divisors (see below), whose sum is σ = 310375968. Its totient is φ = 47676000.

The previous prime is 131110081. The next prime is 131110141. The reversal of 131110100 is 1011131.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 58496 + ... + 60695.

Almost surely, 2131110100 is an apocalyptic number.

131110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131110100 is an abundant number, since it is smaller than the sum of its proper divisors (179265868).

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

131110100 is a wasteful number, since it uses less digits than its factorization.

131110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119216 (or 119209 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 8.

The square root of 131110100 is about 11450.3318729197. The cubic root of 131110100 is about 508.0175505954.

Adding to 131110100 its reverse (1011131), we get a palindrome (132121231).

It can be divided in two parts, 1311 and 10100, that added together give a palindrome (11411).

The spelling of 131110100 in words is "one hundred thirty-one million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 119191 238382 476764 595955 1191910 1311101 2383820 2622202 2979775 5244404 5959550 6555505 11919100 13111010 26222020 32777525 65555050 131110100