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12020100000100 = 22522971470312413
BaseRepresentation
bin1010111011101010010111…
…0010100110100101100100
31120120002222102202220101121
42232322211302212211210
53033414131100000400
641321542510503324
72350265166131623
oct256724562464544
946502872686347
1012020100000100
1139147720a5435
1214216ab204b44
1369264ba0b07a
142d7ac12956ba
1515ca0c84121a
hexaeea5ca6964

12020100000100 has 144 divisors (see below), whose sum is σ = 27371118136320. Its totient is φ = 4575519961600.

The previous prime is 12020100000067. The next prime is 12020100000101. The reversal of 12020100000100 is 100000102021.

It is not an unprimeable number, because it can be changed into a prime (12020100000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 968341494 + ... + 968353906.

It is an arithmetic number, because the mean of its divisors is an integer number (190077209280).

Almost surely, 212020100000100 is an apocalyptic number.

12020100000100 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 12020100000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13685559068160).

12020100000100 is an abundant number, since it is smaller than the sum of its proper divisors (15351018136220).

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

12020100000100 is a wasteful number, since it uses less digits than its factorization.

12020100000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17230 (or 17223 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 12020100000100 its reverse (100000102021), we get a palindrome (12120100102121).

The spelling of 12020100000100 in words is "twelve trillion, twenty billion, one hundred million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 29 50 58 71 100 116 142 145 284 290 355 580 710 725 1420 1450 1775 2059 2900 3550 4118 4703 7100 8236 9406 10295 12413 18812 20590 23515 24826 41180 47030 49652 51475 62065 94060 102950 117575 124130 136387 205900 235150 248260 272774 310325 333913 359977 470300 545548 620650 667826 681935 719954 881323 1241300 1335652 1363870 1439908 1669565 1762646 1799885 2727740 3339130 3409675 3525292 3599770 4406615 6678260 6819350 7199540 8347825 8813230 8999425 9683477 13638700 16695650 17626460 17998850 19366954 22033075 25558367 33391300 35997700 38733908 44066150 48417385 51116734 58378339 88132300 96834770 102233468 116756678 127791835 193669540 233513356 242086925 255583670 291891695 484173850 511167340 583783390 638959175 968347700 1167566780 1277918350 1459458475 1692971831 2555836700 2918916950 3385943662 4144862069 5837833900 6771887324 8289724138 8464859155 16579448276 16929718310 20724310345 33859436620 41448620690 42324295775 82897241380 84648591550 103621551725 120201000001 169297183100 207243103450 240402000002 414486206900 480804000004 601005000005 1202010000010 2404020000020 3005025000025 6010050000050 12020100000100