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10200122020 = 22511433113467
BaseRepresentation
bin10010111111111100…
…11000001010100100
3222022212022212221001
421133332120022210
5131342212401040
64404052003044
7510524415034
oct113776301244
928285285831
1010200122020
114364780710
121b88000484
13c672b817a
146ca9778c4
153ea73d59a
hex25ff982a4

10200122020 has 96 divisors (see below), whose sum is σ = 23994786816. Its totient is φ = 3610185600.

The previous prime is 10200122011. The next prime is 10200122021. The reversal of 10200122020 is 2022100201.

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 = 10200121988 and 10200122006.

It is not an unprimeable number, because it can be changed into a prime (10200122021) 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, 2940327 + ... + 2943793.

It is an arithmetic number, because the mean of its divisors is an integer number (249945696).

Almost surely, 210200122020 is an apocalyptic number.

10200122020 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 10200122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11997393408).

10200122020 is an abundant number, since it is smaller than the sum of its proper divisors (13794664796).

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

10200122020 is a wasteful number, since it uses less digits than its factorization.

10200122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3841 (or 3839 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10200122020 its reverse (2022100201), we get a palindrome (12222222221).

The spelling of 10200122020 in words is "ten billion, two hundred million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 311 430 473 622 860 946 1244 1555 1892 2365 3110 3421 3467 4730 6220 6842 6934 9460 13373 13684 13868 17105 17335 26746 34210 34670 38137 53492 66865 68420 69340 76274 133730 147103 149081 152548 190685 267460 294206 298162 381370 588412 596324 735515 745405 762740 1078237 1471030 1490810 1639891 2156474 2942060 2981620 3279782 4312948 5391185 6559564 8199455 10782370 11860607 16398910 21564740 23721214 32797820 46364191 47442428 59303035 92728382 118606070 185456764 231820955 237212140 463641910 510006101 927283820 1020012202 2040024404 2550030505 5100061010 10200122020