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114510167361 = 3212723351929
BaseRepresentation
bin110101010100101010…
…1100111110101000001
3101221120102002012212200
41222221111213311001
53334004100323421
6124334422143413
711162445235302
oct1525125476501
9357512065780
10114510167361
1144622005657
121a239281b69
13aa4ba234a5
1457841b87a9
152ea3043726
hex1aa9567d41

114510167361 has 6 divisors (see below), whose sum is σ = 165403575090. Its totient is φ = 76340111568.

The previous prime is 114510167251. The next prime is 114510167363. The reversal of 114510167361 is 163761015411.

It is a happy number.

114510167361 is a `hidden beast` number, since 1 + 1 + 4 + 510 + 16 + 73 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71412407361 + 43097760000 = 267231^2 + 207600^2 .

It is not a de Polignac number, because 114510167361 - 215 = 114510134593 is a prime.

It is a super-2 number, since 2×1145101673612 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114510167363) 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 5 ways as a sum of consecutive naturals, for example, 6361675956 + ... + 6361675973.

It is an arithmetic number, because the mean of its divisors is an integer number (27567262515).

Almost surely, 2114510167361 is an apocalyptic number.

It is an amenable number.

114510167361 is a deficient number, since it is larger than the sum of its proper divisors (50893407729).

114510167361 is a wasteful number, since it uses less digits than its factorization.

114510167361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12723351935 (or 12723351932 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 114510167361 in words is "one hundred fourteen billion, five hundred ten million, one hundred sixty-seven thousand, three hundred sixty-one".

Divisors: 1 3 9 12723351929 38170055787 114510167361