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10122011133 = 313247424777
BaseRepresentation
bin10010110110101000…
…11010000111111101
3222010102100102221020
421123110122013331
5131212213324013
64352221454353
7505555450353
oct113324320775
928112312836
1010122011133
11432467a863
121b65a113b9
13c54069900
146c04437d3
153e395e623
hex25b51a1fd

10122011133 has 24 divisors (see below), whose sum is σ = 14924999808. Its totient is φ = 6096385152.

The previous prime is 10122011111. The next prime is 10122011183. The reversal of 10122011133 is 33111022101.

It is a happy number.

It is not a de Polignac number, because 10122011133 - 212 = 10122007037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122011183) 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, 188560 + ... + 236217.

It is an arithmetic number, because the mean of its divisors is an integer number (621874992).

Almost surely, 210122011133 is an apocalyptic number.

10122011133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10122011133 is a deficient number, since it is larger than the sum of its proper divisors (4802988675).

10122011133 is a wasteful number, since it uses less digits than its factorization.

10122011133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424853 (or 424840 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10122011133 its reverse (33111022101), we get a palindrome (43233033234).

The spelling of 10122011133 in words is "ten billion, one hundred twenty-two million, eleven thousand, one hundred thirty-three".

Divisors: 1 3 13 39 47 141 169 507 611 1833 7943 23829 424777 1274331 5522101 16566303 19964519 59893557 71787313 215361939 259538747 778616241 3374003711 10122011133