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131312111322 = 23725127314561
BaseRepresentation
bin111101001001011001…
…1111100111011011010
3110112221100220101222110
41322102303330323122
54122411400030242
6140153550133150
712326015346540
oct1722263747332
9415840811873
10131312111322
1150764299857
12215481b11b6
13c4c8990372
1464d985dd90
15363814739c
hex1e92cfceda

131312111322 has 64 divisors (see below), whose sum is σ = 301514185728. Its totient is φ = 37346400000.

The previous prime is 131312111317. The next prime is 131312111339. The reversal of 131312111322 is 223111213131.

131312111322 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 28787922 + ... + 28792482.

It is an arithmetic number, because the mean of its divisors is an integer number (4711159152).

Almost surely, 2131312111322 is an apocalyptic number.

131312111322 is an abundant number, since it is smaller than the sum of its proper divisors (170202074406).

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

131312111322 is a wasteful number, since it uses less digits than its factorization.

131312111322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7555.

The product of its digits is 216, while the sum is 21.

Adding to 131312111322 its reverse (223111213131), we get a palindrome (354423324453).

The spelling of 131312111322 in words is "one hundred thirty-one billion, three hundred twelve million, one hundred eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 251 502 753 1506 1757 2731 3514 4561 5271 5462 8193 9122 10542 13683 16386 19117 27366 31927 38234 57351 63854 95781 114702 191562 685481 1144811 1370962 2056443 2289622 3434433 4112886 4798367 6868866 8013677 9596734 12456091 14395101 16027354 24041031 24912182 28790202 37368273 48082062 74736546 87192637 174385274 261577911 523155822 3126478841 6252957682 9379436523 18758873046 21885351887 43770703774 65656055661 131312111322