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131102040312 = 23321820861671
BaseRepresentation
bin111101000011001001…
…0100110000011111000
3110112101201121200201200
41322012102212003320
54121444110242222
6140121043414200
712320554645605
oct1720622460370
9415351550650
10131102040312
1150666758351
12214a9984360
13c4942bb0a9
1464b99b96ac
15362499deac
hex1e864a60f8

131102040312 has 24 divisors (see below), whose sum is σ = 355068026040. Its totient is φ = 43700680080.

The previous prime is 131102040281. The next prime is 131102040313. The reversal of 131102040312 is 213040201131.

131102040312 is a `hidden beast` number, since 1 + 311 + 0 + 2 + 0 + 40 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

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 (131102040313) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 910430764 + ... + 910430907.

It is an arithmetic number, because the mean of its divisors is an integer number (14794501085).

Almost surely, 2131102040312 is an apocalyptic number.

131102040312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131102040312 is an abundant number, since it is smaller than the sum of its proper divisors (223965985728).

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

131102040312 is a wasteful number, since it uses less digits than its factorization.

131102040312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820861683 (or 1820861676 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131102040312 its reverse (213040201131), we get a palindrome (344142241443).

The spelling of 131102040312 in words is "one hundred thirty-one billion, one hundred two million, forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1820861671 3641723342 5462585013 7283446684 10925170026 14566893368 16387755039 21850340052 32775510078 43700680104 65551020156 131102040312