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104588305921 = 11107263337871
BaseRepresentation
bin110000101100111110…
…0101110011000000001
3100222221221100102201001
41201121330232120001
53203144101242141
6120014110212001
710361536634461
oct1413174563001
9328857312631
10104588305921
11403a0410270
121832a4b4001
139b2a294068
1450c2595ba1
152ac1e6ca31
hex1859f2e601

104588305921 has 16 divisors (see below), whose sum is σ = 115600877568. Its totient is φ = 93833256400.

The previous prime is 104588305891. The next prime is 104588305933. The reversal of 104588305921 is 129503885401.

It is a cyclic number.

It is not a de Polignac number, because 104588305921 - 217 = 104588174849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104588375921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140616 + ... + 478486.

It is an arithmetic number, because the mean of its divisors is an integer number (7225054848).

Almost surely, 2104588305921 is an apocalyptic number.

104588305921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104588305921 is a deficient number, since it is larger than the sum of its proper divisors (11012571647).

104588305921 is a wasteful number, since it uses less digits than its factorization.

104588305921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338252.

The product of its (nonzero) digits is 345600, while the sum is 46.

The spelling of 104588305921 in words is "one hundred four billion, five hundred eighty-eight million, three hundred five thousand, nine hundred twenty-one".

Divisors: 1 11 107 263 1177 2893 28141 309551 337871 3716581 36152197 88860073 397674167 977460803 9508027811 104588305921