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10122332311 = 713432586847
BaseRepresentation
bin10010110110101011…
…01000100010010111
3222010102221202111201
421123111220202113
5131212304113221
64352232413331
7505561255630
oct113325504227
928112852451
1010122332311
11432487a0a3
121b65b47247
13c5414cb60
146c04c8887
153e39c4891
hex25b568897

10122332311 has 16 divisors (see below), whose sum is σ = 12747986944. Its totient is φ = 7822622304.

The previous prime is 10122332293. The next prime is 10122332323. The reversal of 10122332311 is 11323322101.

10122332311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10122332311 - 25 = 10122332279 is a prime.

It is a super-2 number, since 2×101223323112 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122332611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1289511 + ... + 1297336.

It is an arithmetic number, because the mean of its divisors is an integer number (796749184).

Almost surely, 210122332311 is an apocalyptic number.

10122332311 is a deficient number, since it is larger than the sum of its proper divisors (2625654633).

10122332311 is a wasteful number, since it uses less digits than its factorization.

10122332311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586910.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10122332311 its reverse (11323322101), we get a palindrome (21445654412).

The spelling of 10122332311 in words is "ten billion, one hundred twenty-two million, three hundred thirty-two thousand, three hundred eleven".

Divisors: 1 7 13 43 91 301 559 3913 2586847 18107929 33629011 111234421 235403077 778640947 1446047473 10122332311