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20202211120 = 24571317239683
BaseRepresentation
bin10010110100001001…
…010100011100110000
31221010221000122202111
4102310021110130300
5312333231223440
613140351255104
71313425650460
oct226411243460
957127018674
1020202211120
118627692253
123ab981a494
131b9c5574a0
14d990c1ba0
157d38b04ea
hex4b4254730

20202211120 has 320 divisors, whose sum is σ = 61556060160. Its totient is φ = 5983617024.

The previous prime is 20202211093. The next prime is 20202211121. The reversal of 20202211120 is 2111220202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 20202211120.

It is not an unprimeable number, because it can be changed into a prime (20202211121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29578299 + ... + 29578981.

It is an arithmetic number, because the mean of its divisors is an integer number (192362688).

Almost surely, 220202211120 is an apocalyptic number.

20202211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20202211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30778030080).

20202211120 is an abundant number, since it is smaller than the sum of its proper divisors (41353849040).

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

20202211120 is a wasteful number, since it uses less digits than its factorization.

20202211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 966 counting only the distinct ones).

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

Adding to 20202211120 its reverse (2111220202), we get a palindrome (22313431322).

The spelling of 20202211120 in words is "twenty billion, two hundred two million, two hundred eleven thousand, one hundred twenty".