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10021001001220 = 22511472274269379
BaseRepresentation
bin1001000111010011001000…
…1101000111100100000100
31022110222221210022122121101
42101310302031013210010
52303141002224014340
633151330113225444
72052664514042146
oct221646215074404
938428853278541
1010021001001220
113213978900080
12115a178b62284
13578c90030c71
1426903a342c96
15125a089dbc9a
hex91d32347904

10021001001220 has 96 divisors (see below), whose sum is σ = 23548943738880. Its totient is φ = 3550756295040.

The previous prime is 10021001001211. The next prime is 10021001001233. The reversal of 10021001001220 is 2210010012001.

It is a super-2 number, since 2×100210010012202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10021001001197 and 10021001001206.

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, 212491 + ... + 4481869.

It is an arithmetic number, because the mean of its divisors is an integer number (245301497280).

Almost surely, 210021001001220 is an apocalyptic number.

10021001001220 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 10021001001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11774471869440).

10021001001220 is an abundant number, since it is smaller than the sum of its proper divisors (13527942737660).

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

10021001001220 is a wasteful number, since it uses less digits than its factorization.

10021001001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4269673 (or 4269671 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10021001001220 its reverse (2210010012001), we get a palindrome (12231011013221).

The spelling of 10021001001220 in words is "ten trillion, twenty-one billion, one million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 227 235 454 470 517 908 940 1034 1135 2068 2270 2497 2585 4540 4994 5170 9988 10340 10669 12485 21338 24970 42676 49940 53345 106690 117359 213380 234718 469436 586795 1173590 2347180 4269379 8538758 17077516 21346895 42693790 46963169 85387580 93926338 187852676 200660813 234815845 401321626 469631690 802643252 939263380 969149033 1003304065 1938298066 2006608130 2207268943 3876596132 4013216260 4414537886 4845745165 8829075772 9691490330 10660639363 11036344715 19382980660 21321278726 22072689430 42642557452 44145378860 45550004551 53303196815 91100009102 106606393630 182200018204 213212787260 227750022755 455500045510 501050050061 911000091020 1002100100122 2004200200244 2505250250305 5010500500610 10021001001220