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10211222120 = 2351123207323
BaseRepresentation
bin10011000001010001…
…01110001001101000
3222100122012211101212
421200220232021220
5131403033101440
64405125532252
7511020645611
oct114050561150
928318184355
1010211222120
11436aa72350
121b8b874088
13c696a3688
146cc226c08
153eb6d2465
hex260a2e268

10211222120 has 32 divisors (see below), whose sum is σ = 25063909920. Its totient is φ = 3713171520.

The previous prime is 10211222111. The next prime is 10211222123. The reversal of 10211222120 is 2122211201.

It is a junction number, because it is equal to n+sod(n) for n = 10211222095 and 10211222104.

It is not an unprimeable number, because it can be changed into a prime (10211222123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11603222 + ... + 11604101.

It is an arithmetic number, because the mean of its divisors is an integer number (783247185).

Almost surely, 210211222120 is an apocalyptic number.

10211222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211222120 is an abundant number, since it is smaller than the sum of its proper divisors (14852687800).

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

10211222120 is a wasteful number, since it uses less digits than its factorization.

10211222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23207345 (or 23207341 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10211222120 its reverse (2122211201), we get a palindrome (12333433321).

The spelling of 10211222120 in words is "ten billion, two hundred eleven million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 23207323 46414646 92829292 116036615 185658584 232073230 255280553 464146460 510561106 928292920 1021122212 1276402765 2042244424 2552805530 5105611060 10211222120