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131313121221012 = 22323883538813339
BaseRepresentation
bin11101110110110110110111…
…111100011101100110010100
3122012221102010012020211102120
4131312312313330131212110
5114202413233013033022
61143140225354535540
736442026362005623
oct3566666774354624
9565842105224376
10131313121221012
113892764466aa25
12128894427375b0
135836a0abb4c13
14245d8362296ba
15102ab503b7d5c
hex776db7f1d994

131313121221012 has 48 divisors (see below), whose sum is σ = 320080987000320. Its totient is φ = 41820536042208.

The previous prime is 131313121220999. The next prime is 131313121221013. The reversal of 131313121221012 is 210122121313131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131313121221013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269162962 + ... + 269650377.

It is an arithmetic number, because the mean of its divisors is an integer number (6668353895840).

Almost surely, 2131313121221012 is an apocalyptic number.

131313121221012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131313121221012 is an abundant number, since it is smaller than the sum of its proper divisors (188767865779308).

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

131313121221012 is a wasteful number, since it uses less digits than its factorization.

131313121221012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538814252 (or 538814250 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 131313121221012 its reverse (210122121313131), we get a palindrome (341435242534143).

The spelling of 131313121221012 in words is "one hundred thirty-one trillion, three hundred thirteen billion, one hundred twenty-one million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 883 1766 2649 3532 5298 10596 20309 40618 60927 81236 121854 243708 538813339 1077626678 1616440017 2155253356 3232880034 6465760068 12392706797 24785413594 37178120391 49570827188 74356240782 148712481564 475772178337 951544356674 1427316535011 1903088713348 2854633070022 5709266140044 10942760101751 21885520203502 32828280305253 43771040407004 65656560610506 131313121221012