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22101202112020 = 2251889584997409
BaseRepresentation
bin1010000011001110101100…
…10011010000111000010100
32220020212001202221022112221
411001213112103100320110
510344101230220041040
6115001052503352124
74440521251211143
oct501472623207024
986225052838487
1022101202112020
117051081462529
12258b43ba52644
13c4419940b415
145659bd68b75a
15284d828a474a
hex1419d64d0e14

22101202112020 has 24 divisors (see below), whose sum is σ = 46437094405800. Its totient is φ = 8835800850432.

The previous prime is 22101202111979. The next prime is 22101202112027. The reversal of 22101202112020 is 2021120210122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 63022085764 + 22038180026256 = 251042^2 + 4694484^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22101202111985 and 22101202112003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101202112027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292460925 + ... + 292536484.

It is an arithmetic number, because the mean of its divisors is an integer number (1934878933575).

Almost surely, 222101202112020 is an apocalyptic number.

22101202112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101202112020 is an abundant number, since it is smaller than the sum of its proper divisors (24335892293780).

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

22101202112020 is a wasteful number, since it uses less digits than its factorization.

22101202112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584999307 (or 584999305 counting only the distinct ones).

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

Adding to 22101202112020 its reverse (2021120210122), we get a palindrome (24122322322142).

The spelling of 22101202112020 in words is "twenty-two trillion, one hundred one billion, two hundred two million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 1889 3778 7556 9445 18890 37780 584997409 1169994818 2339989636 2924987045 5849974090 11699948180 1105060105601 2210120211202 4420240422404 5525300528005 11050601056010 22101202112020