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10225012122 = 2321343696633
BaseRepresentation
bin10011000010111010…
…10100110110011010
3222101121011102201200
421201131110312122
5131420100341442
64410341255030
7511246111653
oct114135246632
928347142650
1010225012122
114377830a46
121b94404476
13c6c4c1340
146cddb652a
153eca0834c
hex261754d9a

10225012122 has 24 divisors (see below), whose sum is σ = 23858362164. Its totient is φ = 3146157504.

The previous prime is 10225012093. The next prime is 10225012139. The reversal of 10225012122 is 22121052201.

10225012122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10152779121 + 72233001 = 100761^2 + 8499^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10225012095 and 10225012104.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 21848083 + ... + 21848550.

Almost surely, 210225012122 is an apocalyptic number.

10225012122 is an abundant number, since it is smaller than the sum of its proper divisors (13633350042).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10225012122 is a wasteful number, since it uses less digits than its factorization.

10225012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43696654 (or 43696651 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 10225012122 its reverse (22121052201), we get a palindrome (32346064323).

The spelling of 10225012122 in words is "ten billion, two hundred twenty-five million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 43696633 87393266 131089899 262179798 393269697 568056229 786539394 1136112458 1704168687 3408337374 5112506061 10225012122