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101112021122220 = 223254611218510739
BaseRepresentation
bin10110111111010111111010…
…000110011111110010101100
3111021000012210121020120121100
4112333113322012133302230
5101223104404401402340
6555014115442403100
730204050066545323
oct2677277206376254
9437005717216540
10101112021122220
112a243404a36219
12b41022b360490
134455a9056cb94
141ad7bc2a350ba
15ba52507b4830
hex5bf5fa19fcac

101112021122220 has 72 divisors (see below), whose sum is σ = 307371771186480. Its totient is φ = 26904717095040.

The previous prime is 101112021122191. The next prime is 101112021122243. The reversal of 101112021122220 is 22221120211101.

101112021122220 is a `hidden beast` number, since 10 + 111 + 202 + 1 + 122 + 220 = 666.

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 = 101112021122193 and 101112021122202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 609172390 + ... + 609338349.

It is an arithmetic number, because the mean of its divisors is an integer number (4269052377590).

Almost surely, 2101112021122220 is an apocalyptic number.

101112021122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112021122220 is an abundant number, since it is smaller than the sum of its proper divisors (206259750064260).

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

101112021122220 is a wasteful number, since it uses less digits than its factorization.

101112021122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218511215 (or 1218511210 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101112021122220 its reverse (22221120211101), we get a palindrome (123333141333321).

The spelling of 101112021122220 in words is "one hundred one trillion, one hundred twelve billion, twenty-one million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 461 922 1383 1844 2305 2766 4149 4610 5532 6915 8298 9220 13830 16596 20745 27660 41490 82980 1218510739 2437021478 3655532217 4874042956 6092553695 7311064434 10966596651 12185107390 14622128868 18277661085 21933193302 24370214780 36555322170 43866386604 54832983255 73110644340 109665966510 219331933020 561733450679 1123466901358 1685200352037 2246933802716 2808667253395 3370400704074 5055601056111 5617334506790 6740801408148 8426001760185 10111202112222 11234669013580 16852003520370 20222404224444 25278005280555 33704007040740 50556010561110 101112021122220