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11210012100012 = 223111012801300191
BaseRepresentation
bin1010001100100000100011…
…0010100000010110101100
31110200200000000110202000210
42203020020302200112230
52432131101044200022
635501450343422420
72234616356446305
oct243101062402654
943620000422023
1011210012100012
11363215964a030
1213106aa454a10
1363413aaa905b
142aa7d32497ac
151468e8acba0c
hexa3208ca05ac

11210012100012 has 96 divisors (see below), whose sum is σ = 28827480987648. Its totient is φ = 3362128000000.

The previous prime is 11210012099999. The next prime is 11210012100031. The reversal of 11210012100012 is 21000121001211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37192837 + ... + 37493027.

It is an arithmetic number, because the mean of its divisors is an integer number (300286260288).

Almost surely, 211210012100012 is an apocalyptic number.

11210012100012 is a gapful number since it is divisible by the number (12) 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 11210012100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14413740493824).

11210012100012 is an abundant number, since it is smaller than the sum of its proper divisors (17617468887636).

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

11210012100012 is a wasteful number, since it uses less digits than its factorization.

11210012100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303111 (or 303109 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11210012100012 its reverse (21000121001211), we get a palindrome (32210133101223).

The spelling of 11210012100012 in words is "eleven trillion, two hundred ten billion, twelve million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 2801 3333 4444 5602 6666 8403 11204 13332 16806 30811 33612 61622 92433 123244 184866 282901 300191 369732 565802 600382 848703 900573 1131604 1200764 1697406 1801146 3111911 3302101 3394812 3602292 6223822 6604202 9335733 9906303 12447644 13208404 18671466 19812606 30319291 37342932 39625212 60638582 90957873 121277164 181915746 333512201 363831492 667024402 840834991 1000536603 1334048804 1681669982 2001073206 2522504973 3363339964 4002146412 5045009946 9249184901 10090019892 18498369802 27747554703 36996739604 55495109406 84924334091 110990218812 169848668182 254773002273 339697336364 509546004546 934167675001 1019092009092 1868335350002 2802503025003 3736670700004 5605006050006 11210012100012