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131231003220 = 223256131189333
BaseRepresentation
bin111101000110111111…
…0100011001001010100
3110112201201021200120200
41322031332203021110
54122230114100340
6140141531500500
712324012060012
oct1721576431124
9415651250520
10131231003220
1150722531069
1221524bb7730
13c4b4c327c5
1464ccb898b2
153630e75330
hex1e8dfa3254

131231003220 has 72 divisors (see below), whose sum is σ = 398717087496. Its totient is φ = 34937816832.

The previous prime is 131231003213. The next prime is 131231003221. The reversal of 131231003220 is 22300132131.

131231003220 is a `hidden beast` number, since 1 + 31 + 2 + 310 + 0 + 322 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4526329284 + 126704673936 = 67278^2 + 355956^2 .

It is a super-2 number, since 2×1312310032202 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 131231003193 and 131231003202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131231003221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484327 + ... + 705006.

Almost surely, 2131231003220 is an apocalyptic number.

131231003220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131231003220 is an abundant number, since it is smaller than the sum of its proper divisors (267486084276).

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

131231003220 is a wasteful number, since it uses less digits than its factorization.

131231003220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189961 (or 1189956 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131231003220 its reverse (22300132131), we get a palindrome (153531135351).

The spelling of 131231003220 in words is "one hundred thirty-one billion, two hundred thirty-one million, three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 613 1226 1839 2452 3065 3678 5517 6130 7356 9195 11034 12260 18390 22068 27585 36780 55170 110340 1189333 2378666 3567999 4757332 5946665 7135998 10703997 11893330 14271996 17839995 21407994 23786660 35679990 42815988 53519985 71359980 107039970 214079940 729061129 1458122258 2187183387 2916244516 3645305645 4374366774 6561550161 7290611290 8748733548 10935916935 13123100322 14581222580 21871833870 26246200644 32807750805 43743667740 65615501610 131231003220