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20210002110120 = 23351931245770051
BaseRepresentation
bin1001001100001100000011…
…11111110010011010101000
32122120001112210111000211010
410212012001333302122220
510122110041020010440
6110552202524103520
74154060456346534
oct446060177623250
978501483430733
1020210002110120
116492017354649
122324a00994ba0
13b37a4487b964
144dc252890bc4
15250a96483580
hex126181ff26a8

20210002110120 has 128 divisors (see below), whose sum is σ = 60949913869440. Its totient is φ = 5360902963200.

The previous prime is 20210002110043. The next prime is 20210002110121. The reversal of 20210002110120 is 2101120001202.

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 = 20210002110096 and 20210002110105.

It is not an unprimeable number, because it can be changed into a prime (20210002110121) 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, 288469095 + ... + 288539145.

It is an arithmetic number, because the mean of its divisors is an integer number (476171202105).

Almost surely, 220210002110120 is an apocalyptic number.

20210002110120 is a gapful number since it is divisible by the number (20) 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 20210002110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30474956934720).

20210002110120 is an abundant number, since it is smaller than the sum of its proper divisors (40739911759320).

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

20210002110120 is a wasteful number, since it uses less digits than its factorization.

20210002110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82715 (or 82711 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20210002110120 its reverse (2101120001202), we get a palindrome (22311122111322).

The spelling of 20210002110120 in words is "twenty trillion, two hundred ten billion, two million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 193 386 579 772 965 1158 1544 1930 2316 2895 3860 4632 5790 7720 11580 12457 23160 24914 37371 49828 62285 70051 74742 99656 124570 140102 149484 186855 210153 249140 280204 298968 350255 373710 420306 498280 560408 700510 747420 840612 1050765 1401020 1494840 1681224 2101530 2404201 2802040 4203060 4808402 7212603 8406120 9616804 12021005 13519843 14425206 19233608 24042010 27039686 28850412 36063015 40559529 48084020 54079372 57700824 67599215 72126030 81119058 96168040 108158744 135198430 144252060 162238116 202797645 270396860 288504120 324476232 405595290 540793720 811190580 872625307 1622381160 1745250614 2617875921 3490501228 4363126535 5235751842 6981002456 8726253070 10471503684 13089379605 17452506140 20943007368 26178759210 34905012280 52357518420 104715036840 168416684251 336833368502 505250052753 673666737004 842083421255 1010500105506 1347333474008 1684166842510 2021000211012 2526250263765 3368333685020 4042000422024 5052500527530 6736667370040 10105001055060 20210002110120