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103042926009 = 31013212
BaseRepresentation
bin101111111110111010…
…1100100010110111001
3100211222020110000000000
41133331311210112321
53142012442113014
6115200503303213
710305333263622
oct1377565442671
9324866400000
10103042926009
113a778055491
1217b78a4ab09
13994207358a
144db723ca49
152a3145c509
hex17fdd645b9

103042926009 has 33 divisors (see below), whose sum is σ = 154680609999. Its totient is φ = 68643281520.

The previous prime is 103042925941. The next prime is 103042926053. The reversal of 103042926009 is 900629240301.

The square root of 103042926009 is 321003.

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

103042926009 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 42 + 9 + 2 + 600 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 95390175609 + 7652750400 = 308853^2 + 87480^2 .

It is not a de Polignac number, because 103042926009 - 221 = 103040828857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103042926089) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 78003069 + ... + 78004389.

Almost surely, 2103042926009 is an apocalyptic number.

103042926009 is the 321003-rd square number.

103042926009 is the 160502-nd centered octagonal number.

It is an amenable number.

103042926009 is a deficient number, since it is larger than the sum of its proper divisors (51637683990).

103042926009 is an frugal number, since it uses more digits than its factorization.

103042926009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Multiplying 103042926009 by its sum of digits (36), we get a square (3709545336324 = 19260182).

The spelling of 103042926009 in words is "one hundred three billion, forty-two million, nine hundred twenty-six thousand, nine".

Divisors: 1 3 9 27 81 243 729 1321 2187 3963 6561 11889 19683 35667 59049 107001 321003 963009 1745041 2889027 5235123 8667081 15705369 26001243 47116107 78003729 141348321 424044963 1272134889 3816404667 11449214001 34347642003 103042926009