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10020122220 = 22355910327481
BaseRepresentation
bin10010101010011111…
…01110111001101100
3221212022121221121210
421111033232321230
5131010122402340
64334141554420
7503210430213
oct112517567154
927768557553
1010020122220
114282109149
121b37875a10
13c38c14404
146b0ac007a
153d9a35180
hex2553eee6c

10020122220 has 96 divisors (see below), whose sum is σ = 28809930240. Its totient is φ = 2601146880.

The previous prime is 10020122209. The next prime is 10020122237. The reversal of 10020122220 is 2222102001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10020122196 and 10020122205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350880 + ... + 378360.

It is an arithmetic number, because the mean of its divisors is an integer number (300103440).

Almost surely, 210020122220 is an apocalyptic number.

10020122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14404965120).

10020122220 is an abundant number, since it is smaller than the sum of its proper divisors (18789808020).

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

10020122220 is a wasteful number, since it uses less digits than its factorization.

10020122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27655 (or 27653 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10020122220 its reverse (2222102001), we get a palindrome (12242224221).

The spelling of 10020122220 in words is "ten billion, twenty million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 103 118 177 206 236 295 309 354 412 515 590 618 708 885 1030 1180 1236 1545 1770 2060 3090 3540 6077 6180 12154 18231 24308 27481 30385 36462 54962 60770 72924 82443 91155 109924 121540 137405 164886 182310 274810 329772 364620 412215 549620 824430 1621379 1648860 2830543 3242758 4864137 5661086 6485516 8106895 8491629 9728274 11322172 14152715 16213790 16983258 19456548 24320685 28305430 32427580 33966516 42458145 48641370 56610860 84916290 97282740 167002037 169832580 334004074 501006111 668008148 835010185 1002012222 1670020370 2004024444 2505030555 3340040740 5010061110 10020122220