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2131012313131 = 132933109179951
BaseRepresentation
bin11111000000101010001…
…110110110000000101011
321112201111220121221010211
4133000222032312000223
5234403303123010011
64310550141321551
7306650320535452
oct37005216660053
97481456557124
102131012313131
11751836993839
122a50078662b7
13125c52097750
14751da58db99
153a674b55b21
hex1f02a3b602b

2131012313131 has 16 divisors (see below), whose sum is σ = 2303522363520. Its totient is φ = 1959733238400.

The previous prime is 2131012313093. The next prime is 2131012313161. The reversal of 2131012313131 is 1313132101312.

It is a cyclic number.

It is not a de Polignac number, because 2131012313131 - 223 = 2131003924523 is a prime.

It is a super-2 number, since 2×21310123131312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2131012313161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11752206 + ... + 11932156.

It is an arithmetic number, because the mean of its divisors is an integer number (143970147720).

Almost surely, 22131012313131 is an apocalyptic number.

2131012313131 is a deficient number, since it is larger than the sum of its proper divisors (172510050389).

2131012313131 is a wasteful number, since it uses less digits than its factorization.

2131012313131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183366.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 2131012313131 its reverse (1313132101312), we get a palindrome (3444144414443).

The spelling of 2131012313131 in words is "two trillion, one hundred thirty-one billion, twelve million, three hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 13 293 3109 3809 40417 179951 910937 2339363 11842181 52725643 559467659 685433359 7273079567 163924024087 2131012313131