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10222322120 = 2351971297249
BaseRepresentation
bin10011000010100110…
…00100000111001000
3222101102002202201222
421201103010013020
5131413403301440
64410203501212
7511214206253
oct114123040710
928342082658
1010222322120
1143762639aa
121b93527808
13c6ba8bb1a
146cd8b609a
153ec6762b5
hex2614c41c8

10222322120 has 32 divisors (see below), whose sum is σ = 23116995000. Its totient is φ = 4068169728.

The previous prime is 10222322113. The next prime is 10222322129. The reversal of 10222322120 is 2122322201.

It can be written as a sum of positive squares in 4 ways, for example, as 10175563876 + 46758244 = 100874^2 + 6838^2 .

It is not an unprimeable number, because it can be changed into a prime (10222322129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 640745 + ... + 656504.

Almost surely, 210222322120 is an apocalyptic number.

10222322120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222322120 is an abundant number, since it is smaller than the sum of its proper divisors (12894672880).

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

10222322120 is a wasteful number, since it uses less digits than its factorization.

10222322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297457 (or 1297453 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10222322120 its reverse (2122322201), we get a palindrome (12344644321).

The spelling of 10222322120 in words is "ten billion, two hundred twenty-two million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 197 394 788 985 1576 1970 3940 7880 1297249 2594498 5188996 6486245 10377992 12972490 25944980 51889960 255558053 511116106 1022232212 1277790265 2044464424 2555580530 5111161060 10222322120