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20209182120 = 2332556136617
BaseRepresentation
bin10010110100100011…
…111010010110101000
31221011102010211011200
4102310203322112220
5312342022311440
613141200524200
71313542133211
oct226443722650
957142124150
1020209182120
118630613706
123b00020660
131ba0b2843a
14d99db8408
157d42dac30
hex4b48fa5a8

20209182120 has 48 divisors (see below), whose sum is σ = 65679843060. Its totient is φ = 5389115136.

The previous prime is 20209182113. The next prime is 20209182143. The reversal of 20209182120 is 2128190202.

It can be written as a sum of positive squares in 2 ways, for example, as 20208896964 + 285156 = 142158^2 + 534^2 .

It is a super-2 number, since 2×202091821202 (a number of 21 digits) contains 22 as substring.

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, 28067949 + ... + 28068668.

Almost surely, 220209182120 is an apocalyptic number.

20209182120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20209182120 is an abundant number, since it is smaller than the sum of its proper divisors (45470660940).

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

20209182120 is a wasteful number, since it uses less digits than its factorization.

20209182120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56136634 (or 56136627 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 20209182120 in words is "twenty billion, two hundred nine million, one hundred eighty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 56136617 112273234 168409851 224546468 280683085 336819702 449092936 505229553 561366170 673639404 842049255 1010459106 1122732340 1347278808 1684098510 2020918212 2245464680 2526147765 3368197020 4041836424 5052295530 6736394040 10104591060 20209182120