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12131001134142 = 2311386093476059
BaseRepresentation
bin1011000010000111100000…
…0000110110110000111110
31120221201020022211020021120
42300201320000312300332
53042223242242243032
641444523251011410
72361302342203212
oct260417000666076
946851208736246
1012131001134142
113957801981920
12143b09b899b66
1369cc43b0a887
142dd20200c942
1516084dadb62c
hexb0878036c3e

12131001134142 has 32 divisors (see below), whose sum is σ = 26467762988160. Its totient is φ = 3676043706720.

The previous prime is 12131001134093. The next prime is 12131001134149. The reversal of 12131001134142 is 24143110013121.

It is a super-2 number, since 2×121310011341422 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131001134149) 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, 25244109 + ... + 25720167.

It is an arithmetic number, because the mean of its divisors is an integer number (827117593380).

Almost surely, 212131001134142 is an apocalyptic number.

12131001134142 is an abundant number, since it is smaller than the sum of its proper divisors (14336761854018).

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

12131001134142 is a wasteful number, since it uses less digits than its factorization.

12131001134142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862168.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 12131001134142 its reverse (24143110013121), we get a palindrome (36274111147263).

The spelling of 12131001134142 in words is "twelve trillion, one hundred thirty-one billion, one million, one hundred thirty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 386093 476059 772186 952118 1158279 1428177 2316558 2856354 4247023 5236649 8494046 10473298 12741069 15709947 25482138 31419894 183803047487 367606094974 551409142461 1102818284922 2021833522357 4043667044714 6065500567071 12131001134142