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131103302112 = 2533151739933
BaseRepresentation
bin111101000011001011…
…1011010000111100000
3110112101210222210121000
41322012113122013200
54121444421131422
6140121130432000
712320601452406
oct1720627320740
9415353883530
10131103302112
115066743a362
12214aa292600
13c494640513
1464b9c27476
153624b4ccac
hex1e865da1e0

131103302112 has 48 divisors (see below), whose sum is σ = 382384633680. Its totient is φ = 43701100416.

The previous prime is 131103302053. The next prime is 131103302117. The reversal of 131103302112 is 211203301131.

131103302112 is a `hidden beast` number, since 1 + 311 + 0 + 330 + 21 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131103302117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75869103 + ... + 75870830.

It is an arithmetic number, because the mean of its divisors is an integer number (7966346535).

Almost surely, 2131103302112 is an apocalyptic number.

131103302112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131103302112 is an abundant number, since it is smaller than the sum of its proper divisors (251281331568).

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

131103302112 is a wasteful number, since it uses less digits than its factorization.

131103302112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151739952 (or 151739938 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131103302112 its reverse (211203301131), we get a palindrome (342306603243).

The spelling of 131103302112 in words is "one hundred thirty-one billion, one hundred three million, three hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 151739933 303479866 455219799 606959732 910439598 1213919464 1365659397 1820879196 2427838928 2731318794 3641758392 4096978191 4855677856 5462637588 7283516784 8193956382 10925275176 14567033568 16387912764 21850550352 32775825528 43701100704 65551651056 131103302112