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10020122000 = 245371076689
BaseRepresentation
bin10010101010011111…
…01110110110010000
3221212022121221022122
421111033232312100
5131010122401000
64334141553412
7503210426450
oct112517566620
927768557278
1010020122000
114282108a69
121b37875868
13c38c14295
146b0abdd60
153d9a35085
hex2553eed90

10020122000 has 160 divisors (see below), whose sum is σ = 27952853760. Its totient is φ = 3402854400.

The previous prime is 10020121931. The next prime is 10020122003. The reversal of 10020122000 is 22102001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (10020122003) 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, 1494656 + ... + 1501344.

It is an arithmetic number, because the mean of its divisors is an integer number (174705336).

Almost surely, 210020122000 is an apocalyptic number.

10020122000 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 10020122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13976426880).

10020122000 is an abundant number, since it is smaller than the sum of its proper divisors (17932731760).

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

10020122000 is a wasteful number, since it uses less digits than its factorization.

10020122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6826 (or 6810 counting only the distinct ones).

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

Adding to 10020122000 its reverse (22102001), we get a palindrome (10042224001).

The spelling of 10020122000 in words is "ten billion, twenty million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 107 112 125 140 175 200 214 250 280 350 400 428 500 535 560 700 749 856 875 1000 1070 1400 1498 1712 1750 2000 2140 2675 2800 2996 3500 3745 4280 5350 5992 6689 7000 7490 8560 10700 11984 13375 13378 14000 14980 18725 21400 26750 26756 29960 33445 37450 42800 46823 53500 53512 59920 66890 74900 93625 93646 107000 107024 133780 149800 167225 187250 187292 214000 234115 267560 299600 334450 374500 374584 468230 535120 668900 715723 749000 749168 836125 936460 1170575 1337800 1431446 1498000 1672250 1872920 2341150 2675600 2862892 3344500 3578615 3745840 4682300 5010061 5725784 5852875 6689000 7157230 9364600 10020122 11451568 11705750 13378000 14314460 17893075 18729200 20040244 23411500 25050305 28628920 35786150 40080488 46823000 50100610 57257840 71572300 80160976 89465375 93646000 100201220 125251525 143144600 178930750 200402440 250503050 286289200 357861500 400804880 501006100 626257625 715723000 1002012200 1252515250 1431446000 2004024400 2505030500 5010061000 10020122000