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22210120102120 = 2351912907083783
BaseRepresentation
bin1010000110011001100100…
…10100011011000011101000
32220122021012110100111101021
411003030302110123003220
510402342311221231440
6115123104402102224
74451425323643606
oct503146224330350
986567173314337
1022210120102120
117093293865585
1225a857834a974
13c515366b5c82
1456ad92c96876
15287b099bb84a
hex14333251b0e8

22210120102120 has 32 divisors (see below), whose sum is σ = 50234407787520. Its totient is φ = 8837534697280.

The previous prime is 22210120102117. The next prime is 22210120102127. The reversal of 22210120102120 is 2120102101222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22210120102094 and 22210120102103.

It is not an unprimeable number, because it can be changed into a prime (22210120102127) 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 7 ways as a sum of consecutive naturals, for example, 1453534252 + ... + 1453549531.

It is an arithmetic number, because the mean of its divisors is an integer number (1569825243360).

Almost surely, 222210120102120 is an apocalyptic number.

22210120102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22210120102120 is an abundant number, since it is smaller than the sum of its proper divisors (28024287685400).

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

22210120102120 is a wasteful number, since it uses less digits than its factorization.

22210120102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907083985 (or 2907083981 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22210120102120 its reverse (2120102101222), we get a palindrome (24330222203342).

The spelling of 22210120102120 in words is "twenty-two trillion, two hundred ten billion, one hundred twenty million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 191 382 764 955 1528 1910 3820 7640 2907083783 5814167566 11628335132 14535418915 23256670264 29070837830 58141675660 116283351320 555253002553 1110506005106 2221012010212 2776265012765 4442024020424 5552530025530 11105060051060 22210120102120