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20202120212100 = 223522329831216387
BaseRepresentation
bin1001001011111101011000…
…01100101110111010000100
32122112022012111022010101020
410211332230030232322010
510121442420233241400
6110544420443431140
74153361241334161
oct445765414567204
978468174263336
1020202120212100
116489742211a42
1223233812254b0
13b37089949888
144dbb05b6b068
152507845162a0
hex125fac32ee84

20202120212100 has 288 divisors, whose sum is σ = 63856282936320. Its totient is φ = 4915367170560.

The previous prime is 20202120212063. The next prime is 20202120212107. The reversal of 20202120212100 is 121202120202.

It is a super-2 number, since 2×202021202121002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20202120212100.

It is not an unprimeable number, because it can be changed into a prime (20202120212107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16000107 + ... + 17216493.

It is an arithmetic number, because the mean of its divisors is an integer number (221723204640).

Almost surely, 220202120212100 is an apocalyptic number.

20202120212100 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 20202120212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31928141468160).

20202120212100 is an abundant number, since it is smaller than the sum of its proper divisors (43654162724220).

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

20202120212100 is a wasteful number, since it uses less digits than its factorization.

20202120212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216539 (or 1216532 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20202120212100 its reverse (121202120202), we get a palindrome (20323322332302).

The spelling of 20202120212100 in words is "twenty trillion, two hundred two billion, one hundred twenty million, two hundred twelve thousand, one hundred".