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131221112031 = 3217611011071301
BaseRepresentation
bin111101000110101100…
…0110100010011011111
3110112201000200011102100
41322031120310103133
54122220101041111
6140140535500143
712323532022512
oct1721530642337
9415630604370
10131221112031
1150717995729
1221521827653
13c4b2b7b629
1464cb732d79
15363016e756
hex1e8d6344df

131221112031 has 96 divisors (see below), whose sum is σ = 208085806656. Its totient is φ = 79372800000.

The previous prime is 131221111969. The next prime is 131221112047. The reversal of 131221112031 is 130211122131.

It is not a de Polignac number, because 131221112031 - 29 = 131221111519 is a prime.

It is a super-2 number, since 2×1312211120312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131221111995 and 131221112013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131221112431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100861081 + ... + 100862381.

It is an arithmetic number, because the mean of its divisors is an integer number (2167560486).

Almost surely, 2131221112031 is an apocalyptic number.

131221112031 is a deficient number, since it is larger than the sum of its proper divisors (76864694625).

131221112031 is a wasteful number, since it uses less digits than its factorization.

131221112031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131221112031 its reverse (130211122131), we get a palindrome (261432234162).

The spelling of 131221112031 in words is "one hundred thirty-one billion, two hundred twenty-one million, one hundred twelve thousand, thirty-one".

Divisors: 1 3 9 17 51 61 101 107 153 183 303 321 549 909 963 1037 1301 1717 1819 3111 3903 5151 5457 6161 6527 9333 10807 11709 15453 16371 18483 19581 22117 32421 55449 58743 66351 79361 97263 104737 110959 131401 139207 183719 199053 238083 314211 332877 394203 417621 551157 659227 714249 942633 998631 1182609 1252863 1349137 1653471 1977681 2233817 2366519 4047411 5933043 6701451 7099557 8015461 8491627 11206859 12142233 14059907 20104353 21298671 24046383 25474881 33620577 42179721 72139149 76424643 100861731 126539163 136262837 144357659 239018419 408788511 433072977 717055257 857654327 1226365533 1299218931 2151165771 2572962981 7718888943 14580123559 43740370677 131221112031