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10022231133 = 322938399353
BaseRepresentation
bin10010101010101111…
…10001110001011101
3221212110121002111200
421111113301301131
5131011142344013
64334255110113
7503234362515
oct112527616135
927773532450
1010022231133
114283319652
121b38512339
13c394a22a5
146b10ac845
153d9ceee73
hex2555f1c5d

10022231133 has 12 divisors (see below), whose sum is σ = 14975748060. Its totient is φ = 6451091136.

The previous prime is 10022231123. The next prime is 10022231161. The reversal of 10022231133 is 33113222001.

10022231133 is a `hidden beast` number, since 100 + 222 + 311 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6998660964 + 3023570169 = 83658^2 + 54987^2 .

It is not a de Polignac number, because 10022231133 - 26 = 10022231069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022231123) 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, 19199416 + ... + 19199937.

It is an arithmetic number, because the mean of its divisors is an integer number (1247979005).

Almost surely, 210022231133 is an apocalyptic number.

It is an amenable number.

10022231133 is a deficient number, since it is larger than the sum of its proper divisors (4953516927).

10022231133 is a wasteful number, since it uses less digits than its factorization.

10022231133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38399388 (or 38399385 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10022231133 its reverse (33113222001), we get a palindrome (43135453134).

The spelling of 10022231133 in words is "ten billion, twenty-two million, two hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 29 87 261 38399353 115198059 345594177 1113581237 3340743711 10022231133