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110202022120 = 23514291927957
BaseRepresentation
bin110011010100010001…
…1010110100011101000
3101112110011112202121211
41212220203112203220
53301143204201440
6122343123442504
710650623506141
oct1465043264350
9345404482554
10110202022120
1142811194343
1219436526434
13a513311718
145495d70ac8
152ceec00eea
hex19a88d68e8

110202022120 has 32 divisors (see below), whose sum is σ = 248128194600. Its totient is φ = 44049938688.

The previous prime is 110202022111. The next prime is 110202022121. The reversal of 110202022120 is 21220202011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 83691018436 + 26511003684 = 289294^2 + 162822^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 110202022120.

It is not an unprimeable number, because it can be changed into a prime (110202022121) 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 7 ways as a sum of consecutive naturals, for example, 906819 + ... + 1021138.

Almost surely, 2110202022120 is an apocalyptic number.

110202022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110202022120 is an abundant number, since it is smaller than the sum of its proper divisors (137926172480).

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

110202022120 is a wasteful number, since it uses less digits than its factorization.

110202022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929397 (or 1929393 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 110202022120 its reverse (21220202011), we get a palindrome (131422224131).

The spelling of 110202022120 in words is "one hundred ten billion, two hundred two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1429 2858 5716 7145 11432 14290 28580 57160 1927957 3855914 7711828 9639785 15423656 19279570 38559140 77118280 2755050553 5510101106 11020202212 13775252765 22040404424 27550505530 55101011060 110202022120