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21112021002120 = 23351716363490981
BaseRepresentation
bin1001100110011100001101…
…00000110010011110001000
32202202021211001011110020020
410303032012200302132020
510231344404334031440
6112522421211300440
74306202363414556
oct463160640623610
982667731143206
1021112021002120
1167aa615514924
12244b79914a720
13ba1b166980c9
1452db8204cbd6
1526928ad553d0
hex133386832788

21112021002120 has 128 divisors (see below), whose sum is σ = 67473136391040. Its totient is φ = 5266195845120.

The previous prime is 21112021002089. The next prime is 21112021002157. The reversal of 21112021002120 is 2120012021112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21112021002120.

It is an unprimeable number.

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, 31412971 + ... + 32078010.

It is an arithmetic number, because the mean of its divisors is an integer number (527133878055).

Almost surely, 221112021002120 is an apocalyptic number.

21112021002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21112021002120 is an abundant number, since it is smaller than the sum of its proper divisors (46361115388920).

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

21112021002120 is a wasteful number, since it uses less digits than its factorization.

21112021002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63491175 (or 63491171 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21112021002120 its reverse (2120012021112), we get a palindrome (23232033023232).

The spelling of 21112021002120 in words is "twenty-one trillion, one hundred twelve billion, twenty-one million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 163 170 204 255 326 340 408 489 510 652 680 815 978 1020 1304 1630 1956 2040 2445 2771 3260 3912 4890 5542 6520 8313 9780 11084 13855 16626 19560 22168 27710 33252 41565 55420 66504 83130 110840 166260 332520 63490981 126981962 190472943 253963924 317454905 380945886 507927848 634909810 761891772 952364715 1079346677 1269819620 1523783544 1904729430 2158693354 2539639240 3238040031 3809458860 4317386708 5396733385 6476080062 7618917720 8634773416 10349029903 10793466770 12952160124 16190200155 20698059806 21586933540 25904320248 31047089709 32380400310 41396119612 43173867080 51745149515 62094179418 64760800620 82792239224 103490299030 124188358836 129521601240 155235448545 175933508351 206980598060 248376717672 310470897090 351867016702 413961196120 527800525053 620941794180 703734033404 879667541755 1055601050106 1241883588360 1407468066808 1759335083510 2111202100212 2639002625265 3518670167020 4222404200424 5278005250530 7037340334040 10556010501060 21112021002120