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10090122741 = 323089362941
BaseRepresentation
bin10010110010110101…
…10000110111110101
3222001012100100021200
421121122300313311
5131131032411431
64345122203113
7505020425316
oct113132606765
928035310250
1010090122741
11430867a616
121b571b3499
13c4a58323a
146ba10260d
153e0c60ee6
hex2596b0df5

10090122741 has 12 divisors (see below), whose sum is σ = 14579380140. Its totient is φ = 6724552320.

The previous prime is 10090122739. The next prime is 10090122787. The reversal of 10090122741 is 14722109001.

It can be written as a sum of positive squares in 2 ways, for example, as 4079376900 + 6010745841 = 63870^2 + 77529^2 .

It is not a de Polignac number, because 10090122741 - 21 = 10090122739 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10090122841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153670 + ... + 209271.

It is an arithmetic number, because the mean of its divisors is an integer number (1214948345).

Almost surely, 210090122741 is an apocalyptic number.

It is an amenable number.

10090122741 is a deficient number, since it is larger than the sum of its proper divisors (4489257399).

10090122741 is a wasteful number, since it uses less digits than its factorization.

10090122741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366036 (or 366033 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

It can be divided in two parts, 1009012 and 2741, that added together give a triangular number (1011753 = T1422).

The spelling of 10090122741 in words is "ten billion, ninety million, one hundred twenty-two thousand, seven hundred forty-one".

Divisors: 1 3 9 3089 9267 27801 362941 1088823 3266469 1121124749 3363374247 10090122741