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21100122212020 = 2256117295182141
BaseRepresentation
bin1001100110000110000010…
…10010100000011010110100
32202201011002210111021202121
410303003001102200122310
510231201022241241040
6112513132355045324
74305301461362455
oct463030122403264
982634083437677
1021100122212020
1167a5569a007a5
1224494182a0844
13ba096b4ab9c7
1452d373a5912c
15268ce1427c4a
hex1330c14a06b4

21100122212020 has 24 divisors (see below), whose sum is σ = 45036654297768. Its totient is φ = 8301687427200.

The previous prime is 21100122212011. The next prime is 21100122212021. The reversal of 21100122212020 is 2021222100112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 593969241636 + 20506152970384 = 770694^2 + 4528372^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21100122211985 and 21100122212003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100122212021) 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, 8647589851 + ... + 8647592290.

It is an arithmetic number, because the mean of its divisors is an integer number (1876527262407).

Almost surely, 221100122212020 is an apocalyptic number.

21100122212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21100122212020 is an abundant number, since it is smaller than the sum of its proper divisors (23936532085748).

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

21100122212020 is a wasteful number, since it uses less digits than its factorization.

21100122212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17295182211 (or 17295182209 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21100122212020 its reverse (2021222100112), we get a palindrome (23121344312132).

The spelling of 21100122212020 in words is "twenty-one trillion, one hundred billion, one hundred twenty-two million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 17295182141 34590364282 69180728564 86475910705 172951821410 345903642820 1055006110601 2110012221202 4220024442404 5275030553005 10550061106010 21100122212020