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10010122220 = 22574312713093
BaseRepresentation
bin10010101001010011…
…00101011111101100
3221211121210220012102
421110221211133230
5131000042402340
64333143354232
7503026430540
oct112451453754
927747726172
1010010122220
1142774a8a8a
121b34452978
13c36b22857
146ad639a20
153d8c0c215
hex254a657ec

10010122220 has 96 divisors (see below), whose sum is σ = 24778457088. Its totient is φ = 3325577472.

The previous prime is 10010122217. The next prime is 10010122229. The reversal of 10010122220 is 2222101001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10010122229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 757994 + ... + 771086.

It is an arithmetic number, because the mean of its divisors is an integer number (258108928).

Almost surely, 210010122220 is an apocalyptic number.

10010122220 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 10010122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12389228544).

10010122220 is an abundant number, since it is smaller than the sum of its proper divisors (14768334868).

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

10010122220 is a wasteful number, since it uses less digits than its factorization.

10010122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13279 (or 13277 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10010122220 its reverse (2222101001), we get a palindrome (12232223221).

The spelling of 10010122220 in words is "ten billion, ten million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 127 140 172 215 254 301 430 508 602 635 860 889 1204 1270 1505 1778 2540 3010 3556 4445 5461 6020 8890 10922 13093 17780 21844 26186 27305 38227 52372 54610 65465 76454 91651 109220 130930 152908 183302 191135 261860 366604 382270 458255 562999 764540 916510 1125998 1662811 1833020 2251996 2814995 3325622 3940993 5629990 6651244 7881986 8314055 11259980 11639677 15763972 16628110 19704965 23279354 33256220 39409930 46558708 58198385 71500873 78819860 116396770 143001746 232793540 286003492 357504365 500506111 715008730 1001012222 1430017460 2002024444 2502530555 5005061110 10010122220