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104160462121 = 67248172
BaseRepresentation
bin110000100000001110…
…0101000010100101001
3100221212010021201100101
41201000130220110221
53201310034241441
6115503424105401
710345123214452
oct1410034502451
9327763251311
10104160462121
11401a0957951
121822b165261
139a8c754051
145081824129
152a99609231
hex1840728529

104160462121 has 9 divisors (see below), whose sum is σ = 105760254999. Its totient is φ = 102584527584.

The previous prime is 104160462103. The next prime is 104160462137. The reversal of 104160462121 is 121264061401.

The square root of 104160462121 is 322739.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9503325225 + 94657136896 = 97485^2 + 307664^2 .

It is a de Polignac number, because none of the positive numbers 2k-104160462121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 104160462121.

It is not an unprimeable number, because it can be changed into a prime (104160462101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21621105 + ... + 21625921.

Almost surely, 2104160462121 is an apocalyptic number.

104160462121 is the 322739-th square number.

104160462121 is the 161370-th centered octagonal number.

It is an amenable number.

104160462121 is a deficient number, since it is larger than the sum of its proper divisors (1599792878).

104160462121 is an frugal number, since it uses more digits than its factorization.

104160462121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9768 (or 4884 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Multiplying 104160462121 by its product of nonzero digits (2304), we get a square (239985704726784 = 154914722).

The spelling of 104160462121 in words is "one hundred four billion, one hundred sixty million, four hundred sixty-two thousand, one hundred twenty-one".

Divisors: 1 67 4489 4817 322739 21623513 23203489 1554633763 104160462121