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10093057574103 = 34779225326671
BaseRepresentation
bin1001001011011111100100…
…0111001000010011010111
31022201212221112110211010000
42102313321013020103113
52310331040214332403
633244404151502343
72061125242565130
oct222677107102327
938655845424100
1010093057574103
113241494969859
1211701286879b3
13582a0456ca3a
1426c71413cc87
151278249377a3
hex92df91c84d7

10093057574103 has 40 divisors (see below), whose sum is σ = 17449297479680. Its totient is φ = 5694455604240.

The previous prime is 10093057574099. The next prime is 10093057574129. The reversal of 10093057574103 is 30147575039001.

10093057574103 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 3 + 0 + 575 + 74 + 1 + 0 + 3 = 666.

It is not a de Polignac number, because 10093057574103 - 22 = 10093057574099 is a prime.

It is a super-2 number, since 2×100930575741032 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10093057524103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 112618543 + ... + 112708128.

It is an arithmetic number, because the mean of its divisors is an integer number (436232436992).

Almost surely, 210093057574103 is an apocalyptic number.

10093057574103 is a deficient number, since it is larger than the sum of its proper divisors (7356239905577).

10093057574103 is an equidigital number, since it uses as much as digits as its factorization.

10093057574103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225326769 (or 225326760 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 10093057574103 in words is "ten trillion, ninety-three billion, fifty-seven million, five hundred seventy-four thousand, one hundred three".

Divisors: 1 3 7 9 21 27 63 79 81 189 237 553 567 711 1659 2133 4977 6399 14931 44793 225326671 675980013 1577286697 2027940039 4731860091 6083820117 14195580273 17800807009 18251460351 42586740819 53402421027 124605649063 127760222457 160207263081 373816947189 480621789243 1121450841567 1441865367729 3364352524701 10093057574103