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20122211322020 = 2257538211334681
BaseRepresentation
bin1001001001101000100010…
…10000100000100010100100
32122020122221111121220200202
410210310101100200202210
510114140242044301040
6110444003302530032
74144532104100153
oct444642120404244
978218844556622
1020122211322020
116458866785115
12230b99ba36918
13b2c693664c72
144d7cc514b59a
1524d659043015
hex124d114208a4

20122211322020 has 24 divisors (see below), whose sum is σ = 42256731493368. Its totient is φ = 8048867820800.

The previous prime is 20122211321987. The next prime is 20122211322049. The reversal of 20122211322020 is 2022311222102.

It can be written as a sum of positive squares in 4 ways, for example, as 3151420250176 + 16970791071844 = 1775224^2 + 4119562^2 .

It is a super-2 number, since 2×201222113220202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20122211321983 and 20122211322001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14409080 + ... + 15743760.

It is an arithmetic number, because the mean of its divisors is an integer number (1760697145557).

Almost surely, 220122211322020 is an apocalyptic number.

20122211322020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122211322020 is an abundant number, since it is smaller than the sum of its proper divisors (22134520171348).

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

20122211322020 is a wasteful number, since it uses less digits than its factorization.

20122211322020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088511 (or 2088509 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 20122211322020 its reverse (2022311222102), we get a palindrome (22144522544122).

The spelling of 20122211322020 in words is "twenty trillion, one hundred twenty-two billion, two hundred eleven million, three hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 753821 1334681 1507642 2669362 3015284 3769105 5338724 6673405 7538210 13346810 15076420 26693620 1006110566101 2012221132202 4024442264404 5030552830505 10061105661010 20122211322020