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21122301310020 = 22325117346118389
BaseRepresentation
bin1001100110101111010110…
…10001000011010001000100
32202210021100111101012111200
410303113223101003101010
510232031433113410040
6112531241250102500
74310015213531661
oct463275321032104
982707314335450
1021122301310020
116803a10483359
122451787b7aa30
13ba2a9447a131
145304794daa68
1526968d632630
hex1335eb443444

21122301310020 has 36 divisors (see below), whose sum is σ = 64070980640940. Its totient is φ = 5632613682624.

The previous prime is 21122301310009. The next prime is 21122301310021. The reversal of 21122301310020 is 2001310322112.

21122301310020 is a `hidden beast` number, since 2 + 11 + 22 + 301 + 310 + 0 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9554738473476 + 11567562836544 = 3091074^2 + 3401112^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×211223013100202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21122301309975 and 21122301310002.

It is not an unprimeable number, because it can be changed into a prime (21122301310021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58673059015 + ... + 58673059374.

Almost surely, 221122301310020 is an apocalyptic number.

21122301310020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122301310020 is an abundant number, since it is smaller than the sum of its proper divisors (42948679330920).

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

21122301310020 is a wasteful number, since it uses less digits than its factorization.

21122301310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117346118404 (or 117346118399 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21122301310020 its reverse (2001310322112), we get a palindrome (23123611632132).

The spelling of 21122301310020 in words is "twenty-one trillion, one hundred twenty-two billion, three hundred one million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 117346118389 234692236778 352038355167 469384473556 586730591945 704076710334 1056115065501 1173461183890 1408153420668 1760191775835 2112230131002 2346922367780 3520383551670 4224460262004 5280575327505 7040767103340 10561150655010 21122301310020