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6131023027 = 417119111027
BaseRepresentation
bin1011011010110111…
…11111110010110011
3120211021121020110221
411231123333302303
5100024020214102
62452213033511
7304634556463
oct55533776263
916737536427
106131023027
112666891388
121231325897
1376928209c
14422397ba3
1525d3b9637
hex16d6ffcb3

6131023027 has 16 divisors (see below), whose sum is σ = 6402945024. Its totient is φ = 5865832000.

The previous prime is 6131022977. The next prime is 6131023111. The reversal of 6131023027 is 7203201316.

It is a cyclic number.

It is not a de Polignac number, because 6131023027 - 219 = 6130498739 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6131022992 and 6131023010.

It is not an unprimeable number, because it can be changed into a prime (6131023127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 550488 + ... + 561514.

It is an arithmetic number, because the mean of its divisors is an integer number (400184064).

Almost surely, 26131023027 is an apocalyptic number.

6131023027 is a deficient number, since it is larger than the sum of its proper divisors (271921997).

6131023027 is a wasteful number, since it uses less digits than its factorization.

6131023027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11330.

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 6131023027 is about 78300.8494653794. The cubic root of 6131023027 is about 1830.2523890700.

The spelling of 6131023027 in words is "six billion, one hundred thirty-one million, twenty-three thousand, twenty-seven".

Divisors: 1 41 71 191 2911 7831 11027 13561 452107 556001 782917 2106157 32099597 86352437 149537147 6131023027