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123006637131 = 3732171820783
BaseRepresentation
bin111001010001111000…
…1000101010001001011
3102202111112200121021020
41302203301011101023
54003404144342011
6132301455043523
711613135110220
oct1624361052113
9382445617236
10123006637131
11481920490a4
121ba0a8105a3
13b7a40838b1
145d4c799947
1532ede0b006
hex1ca3c4544b

123006637131 has 16 divisors (see below), whose sum is σ = 187497053184. Its totient is φ = 70267618944.

The previous prime is 123006637099. The next prime is 123006637139. The reversal of 123006637131 is 131736600321.

It is not a de Polignac number, because 123006637131 - 25 = 123006637099 is a prime.

It is a super-2 number, since 2×1230066371312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123006637092 and 123006637101.

It is not an unprimeable number, because it can be changed into a prime (123006637139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 842835 + ... + 977948.

It is an arithmetic number, because the mean of its divisors is an integer number (11718565824).

Almost surely, 2123006637131 is an apocalyptic number.

123006637131 is a deficient number, since it is larger than the sum of its proper divisors (64490416053).

123006637131 is a wasteful number, since it uses less digits than its factorization.

123006637131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824010.

The product of its (nonzero) digits is 13608, while the sum is 33.

The spelling of 123006637131 in words is "one hundred twenty-three billion, six million, six hundred thirty-seven thousand, one hundred thirty-one".

Divisors: 1 3 7 21 3217 9651 22519 67557 1820783 5462349 12745481 38236443 5857458911 17572376733 41002212377 123006637131