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131011130012142 = 23196118839679323
BaseRepresentation
bin11101110010011101100111…
…110111011011000111101110
3122011212112121220111220121210
4131302131213313123013232
5114132441243240342032
61142345403211135250
736411145635044502
oct3562354767330756
9564775556456553
10131011130012142
1138820565490a66
121283aa02444526
1358143b1699513
14244cd8887a302
151022d77ed12cc
hex772767ddb1ee

131011130012142 has 32 divisors (see below), whose sum is σ = 280334428341120. Its totient is φ = 40693707335520.

The previous prime is 131011130012137. The next prime is 131011130012179. The reversal of 131011130012142 is 241210031110131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9419832708 + ... + 9419846615.

It is an arithmetic number, because the mean of its divisors is an integer number (8760450885660).

Almost surely, 2131011130012142 is an apocalyptic number.

131011130012142 is an abundant number, since it is smaller than the sum of its proper divisors (149323298328978).

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

131011130012142 is a wasteful number, since it uses less digits than its factorization.

131011130012142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18839679408.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 131011130012142 its reverse (241210031110131), we get a palindrome (372221161122273).

The spelling of 131011130012142 in words is "one hundred thirty-one trillion, eleven billion, one hundred thirty million, twelve thousand, one hundred forty-two".

Divisors: 1 2 3 6 19 38 57 61 114 122 183 366 1159 2318 3477 6954 18839679323 37679358646 56519037969 113038075938 357953907137 715907814274 1073861721411 1149220438703 2147723442822 2298440877406 3447661316109 6895322632218 21835188335357 43670376670714 65505565006071 131011130012142