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131031023031 = 352924177153
BaseRepresentation
bin111101000001000001…
…1101011110110110111
3110112012202222122100000
41322002003223312313
54121322420214111
6140110025322343
712316033214256
oct1720203536667
9415182878300
10131031023031
115062a661a87
122148a0363b3
13c48268452c
1464b03b079d
15361d621c56
hex1e820ebdb7

131031023031 has 48 divisors (see below), whose sum is σ = 203890246560. Its totient is φ = 83990753280.

The previous prime is 131031023003. The next prime is 131031023059. The reversal of 131031023031 is 130320130131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131031023003) and next prime (131031023059).

It is not a de Polignac number, because 131031023031 - 210 = 131031022007 is a prime.

It is a super-2 number, since 2×1310310230312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131031022995 and 131031023013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131031023531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1659751 + ... + 1736903.

It is an arithmetic number, because the mean of its divisors is an integer number (4247713470).

Almost surely, 2131031023031 is an apocalyptic number.

131031023031 is a deficient number, since it is larger than the sum of its proper divisors (72859223529).

131031023031 is an equidigital number, since it uses as much as digits as its factorization.

131031023031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77438 (or 77426 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131031023031 its reverse (130320130131), we get a palindrome (261351153162).

The spelling of 131031023031 in words is "one hundred thirty-one billion, thirty-one million, twenty-three thousand, thirty-one".

Divisors: 1 3 9 27 29 81 87 241 243 261 723 783 2169 2349 6507 6989 7047 19521 20967 58563 62901 77153 188703 231459 566109 694377 1698327 2083131 2237437 6249393 6712311 18593873 18748179 20136933 55781619 60410799 167344857 181232397 502034571 539222317 543697191 1506103713 1617666951 4518311139 4853000853 14559002559 43677007677 131031023031