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21122010112020 = 223517223103514187
BaseRepresentation
bin1001100110101110110011…
…11010001110000000010100
32202210020121012102210221120
410303113121322032000110
510232030334042041040
6112531152324443540
74310005046432136
oct463273172160024
982706535383846
1021122010112020
116803881070a54
1224517065495b0
13ba2a4904181c
1453044c979056
15269672cb17d0
hex1335d9e8e014

21122010112020 has 288 divisors, whose sum is σ = 66193321678848. Its totient is φ = 5021482887168.

The previous prime is 21122010111991. The next prime is 21122010112097. The reversal of 21122010112020 is 2021101022112.

It is a super-2 number, since 2×211220101120202 (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40821367 + ... + 41335553.

It is an arithmetic number, because the mean of its divisors is an integer number (229837922496).

Almost surely, 221122010112020 is an apocalyptic number.

21122010112020 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 21122010112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33096660839424).

21122010112020 is an abundant number, since it is smaller than the sum of its proper divisors (45071311566828).

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

21122010112020 is a wasteful number, since it uses less digits than its factorization.

21122010112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514359 (or 514340 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21122010112020 its reverse (2021101022112), we get a palindrome (23143111134132).

The spelling of 21122010112020 in words is "twenty-one trillion, one hundred twenty-two billion, ten million, one hundred twelve thousand, twenty".