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2220100012020 = 22351131108509287
BaseRepresentation
bin100000010011101000010…
…001011100011111110100
321212020110120211221102010
4200103220101130133310
5242333231100341040
64415522212044220
7316253101511142
oct40235021343764
97766416757363
102220100012020
117865a2640570
122ba32b003670
1313147bba7287
147964c24c592
153cb3ad75e80
hex204e845c7f4

2220100012020 has 96 divisors (see below), whose sum is σ = 7000151187456. Its totient is φ = 520844572800.

The previous prime is 2220100012019. The next prime is 2220100012027. The reversal of 2220100012020 is 202100010222.

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 = 2220100011987 and 2220100012005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220100012027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54234184 + ... + 54275103.

It is an arithmetic number, because the mean of its divisors is an integer number (72918241536).

Almost surely, 22220100012020 is an apocalyptic number.

2220100012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220100012020 is an abundant number, since it is smaller than the sum of its proper divisors (4780051175436).

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

2220100012020 is a wasteful number, since it uses less digits than its factorization.

2220100012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108509341 (or 108509339 counting only the distinct ones).

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

Adding to 2220100012020 its reverse (202100010222), we get a palindrome (2422200022242).

The spelling of 2220100012020 in words is "two trillion, two hundred twenty billion, one hundred million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 930 1023 1364 1705 1860 2046 3410 4092 5115 6820 10230 20460 108509287 217018574 325527861 434037148 542546435 651055722 1085092870 1193602157 1302111444 1627639305 2170185740 2387204314 3255278610 3363787897 3580806471 4774408628 5968010785 6510557220 6727575794 7161612942 10091363691 11936021570 13455151588 14323225884 16818939485 17904032355 20182727382 23872043140 33637878970 35808064710 37001666867 40365454764 50456818455 67275757940 71616129420 74003333734 100913636910 111005000601 148006667468 185008334335 201827273820 222010001202 370016668670 444020002404 555025003005 740033337340 1110050006010 2220100012020