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10092011121 = 3217634310399
BaseRepresentation
bin10010110011000011…
…11101111001110001
3222001022220021122200
421121201331321301
5131132023323441
64345230453413
7505042451643
oct113141757161
928038807580
1010092011121
11430974a365
121b57964269
13c4aa9491a
146ba474893
153e0ed57b6
hex25987de71

10092011121 has 24 divisors (see below), whose sum is σ = 15438758400. Its totient is φ = 6330635136.

The previous prime is 10092011117. The next prime is 10092011123. The reversal of 10092011121 is 12111029001.

It is a happy number.

It is not a de Polignac number, because 10092011121 - 22 = 10092011117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10092011094 and 10092011103.

It is not an unprimeable number, because it can be changed into a prime (10092011123) 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 23 ways as a sum of consecutive naturals, for example, 965280 + ... + 975678.

It is an arithmetic number, because the mean of its divisors is an integer number (643281600).

Almost surely, 210092011121 is an apocalyptic number.

It is an amenable number.

10092011121 is a deficient number, since it is larger than the sum of its proper divisors (5346747279).

10092011121 is a wasteful number, since it uses less digits than its factorization.

10092011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16765 (or 16762 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 10092011121 in words is "ten billion, ninety-two million, eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 17 51 153 6343 10399 19029 31197 57087 93591 107831 176783 323493 530349 970479 1591047 65960857 197882571 593647713 1121334569 3364003707 10092011121