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131311631814 = 23113761787151
BaseRepresentation
bin111101001001011001…
…0000111110111000110
3110112221100000001012220
41322102302013313012
54122411234204224
6140153531553210
712326011311546
oct1722262076706
9415840001186
10131311631814
1150763aa1570
1221547bbb806
13c4c885302c
1464d9777326
1536380a0279
hex1e92c87dc6

131311631814 has 64 divisors (see below), whose sum is σ = 294721569792. Its totient is φ = 38652768000.

The previous prime is 131311631791. The next prime is 131311631831. The reversal of 131311631814 is 418136113131.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1463139 + ... + 1550289.

It is an arithmetic number, because the mean of its divisors is an integer number (4605024528).

Almost surely, 2131311631814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131311631814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147360784896).

131311631814 is an abundant number, since it is smaller than the sum of its proper divisors (163409937978).

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

131311631814 is a wasteful number, since it uses less digits than its factorization.

131311631814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87821.

The product of its digits is 5184, while the sum is 33.

Adding to 131311631814 its reverse (418136113131), we get a palindrome (549447744945).

The spelling of 131311631814 in words is "one hundred thirty-one billion, three hundred eleven million, six hundred thirty-one thousand, eight hundred fourteen".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 617 814 1221 1234 1851 2442 3702 6787 13574 20361 22829 40722 45658 68487 87151 136974 174302 251119 261453 502238 522906 753357 958661 1506714 1917322 2875983 3224587 5751966 6449174 9673761 19347522 35470457 53772167 70940914 106411371 107544334 161316501 212822742 322633002 591493837 1182987674 1774481511 1989570179 3548963022 3979140358 5968710537 11937421074 21885271969 43770543938 65655815907 131311631814