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10022112222020 = 22517103328535141
BaseRepresentation
bin1001000111010111010001…
…1100000101101101000100
31022111002211020021111222022
42101311310130011231010
52303200241212101040
633152032250422312
72053034166211013
oct221656434055504
938432736244868
1010022112222020
113214399089778
12115a429131998
13579109310072
14269103b62a7a
15125a7133c6b5
hex91d74705b44

10022112222020 has 48 divisors (see below), whose sum is σ = 22306034641968. Its totient is φ = 3769377853440.

The previous prime is 10022112221987. The next prime is 10022112222097. The reversal of 10022112222020 is 2022221122001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4153150533184 + 5868961688836 = 2037928^2 + 2422594^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 10022112222020.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13916351 + ... + 14618790.

It is an arithmetic number, because the mean of its divisors is an integer number (464709055041).

Almost surely, 210022112222020 is an apocalyptic number.

10022112222020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022112222020 is an abundant number, since it is smaller than the sum of its proper divisors (12283922419948).

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

10022112222020 is a wasteful number, since it uses less digits than its factorization.

10022112222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28536200 (or 28536198 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10022112222020 its reverse (2022221122001), we get a palindrome (12044333344021).

The spelling of 10022112222020 in words is "ten trillion, twenty-two billion, one hundred twelve million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1033 2066 4132 5165 10330 17561 20660 35122 70244 87805 175610 351220 28535141 57070282 114140564 142675705 285351410 485097397 570702820 970194794 1940389588 2425486985 4850973970 9701947940 29476800653 58953601306 117907202612 147384003265 294768006530 501105611101 589536013060 1002211222202 2004422444404 2505528055505 5011056111010 10022112222020