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103149320464 = 2437174238717
BaseRepresentation
bin110000000010000101…
…1011011100100010000
3100212020122122101202101
41200010023123210100
53142222211223324
6115215223530144
710311064520551
oct1400413334420
9325218571671
10103149320464
113a822114193
1217ba85b9954
13995b115788
144dc7416328
152a3a976944
hex18042db910

103149320464 has 20 divisors (see below), whose sum is σ = 205253209804. Its totient is φ = 50180750208.

The previous prime is 103149320383. The next prime is 103149320467. The reversal of 103149320464 is 464023941301.

It can be written as a sum of positive squares in 2 ways, for example, as 81567360000 + 21581960464 = 285600^2 + 146908^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (103149320467) 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 3 ways as a sum of consecutive naturals, for example, 87118767 + ... + 87119950.

Almost surely, 2103149320464 is an apocalyptic number.

It is an amenable number.

103149320464 is a deficient number, since it is larger than the sum of its proper divisors (102103889340).

103149320464 is a wasteful number, since it uses less digits than its factorization.

103149320464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174238762 (or 174238756 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 103149320464 in words is "one hundred three billion, one hundred forty-nine million, three hundred twenty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 37 74 148 296 592 174238717 348477434 696954868 1393909736 2787819472 6446832529 12893665058 25787330116 51574660232 103149320464