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131201122000333 = 71127743631409879
BaseRepresentation
bin11101110101001110100100…
…010001010101110111001101
3122012112201000202221220212011
4131311032210101111313031
5114144044344213002313
61143012544030541221
736430653053230510
oct3565164421256715
9565481022856764
10131201122000333
11388940a0a65820
121286b7a6367811
13582929c4545c8
14245824d710d77
151027c97a1393d
hex7753a4455dcd

131201122000333 has 32 divisors (see below), whose sum is σ = 164203693148160. Its totient is φ = 101842142564160.

The previous prime is 131201122000283. The next prime is 131201122000367. The reversal of 131201122000333 is 333000221102131.

It is a cyclic number.

It is not a de Polignac number, because 131201122000333 - 237 = 131063683046861 is a prime.

It is a super-2 number, since 2×1312011220003332 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131201122003333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92353488 + ... + 93763366.

It is an arithmetic number, because the mean of its divisors is an integer number (5131365410880).

Almost surely, 2131201122000333 is an apocalyptic number.

It is an amenable number.

131201122000333 is a deficient number, since it is larger than the sum of its proper divisors (33002571147827).

131201122000333 is a wasteful number, since it uses less digits than its factorization.

131201122000333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414537.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 131201122000333 its reverse (333000221102131), we get a palindrome (464201343102464).

The spelling of 131201122000333 in words is "one hundred thirty-one trillion, two hundred one billion, one hundred twenty-two million, three hundred thirty-three", and thus it is an aban number.

Divisors: 1 7 11 77 277 1939 3047 4363 21329 30541 47993 335951 1208551 1409879 8459857 9869153 13294061 15508669 93058427 108560683 390536483 2733755381 4295901313 6151302077 30071309191 43059114539 67664322847 473650259929 1703910675329 11927374727303 18743017428619 131201122000333