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10221220020 = 22351133914567
BaseRepresentation
bin10011000010011101…
…10111000010110100
3222101100000202221110
421201032313002310
5131413113020040
64410124115020
7511201636164
oct114116670264
928340022843
1010221220020
114375680980
121b93095a70
13c6b7942ab
146cd6aa5a4
153ec509980
hex2613b70b4

10221220020 has 96 divisors (see below), whose sum is σ = 31237226496. Its totient is φ = 2476598400.

The previous prime is 10221219997. The next prime is 10221220073. The reversal of 10221220020 is 2002212201.

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 = 10221219978 and 10221220005.

It is a congruent number.

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, 2235777 + ... + 2240343.

It is an arithmetic number, because the mean of its divisors is an integer number (325387776).

Almost surely, 210221220020 is an apocalyptic number.

10221220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221220020 is an abundant number, since it is smaller than the sum of its proper divisors (21016006476).

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

10221220020 is a wasteful number, since it uses less digits than its factorization.

10221220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7981 (or 7979 counting only the distinct ones).

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

Adding to 10221220020 its reverse (2002212201), we get a palindrome (12223432221).

The spelling of 10221220020 in words is "ten billion, two hundred twenty-one million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 3391 4567 6782 9134 10173 13564 13701 16955 18268 20346 22835 27402 33910 37301 40692 45670 50237 50865 54804 67820 68505 74602 91340 100474 101730 111903 137010 149204 150711 186505 200948 203460 223806 251185 274020 301422 373010 447612 502370 559515 602844 746020 753555 1004740 1119030 1507110 2238060 3014220 15486697 30973394 46460091 61946788 77433485 92920182 154866970 170353667 185840364 232300455 309733940 340707334 464600910 511061001 681414668 851768335 929201820 1022122002 1703536670 2044244004 2555305005 3407073340 5110610010 10221220020