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2011222200012 = 22317241304913417
BaseRepresentation
bin11101010001000110001…
…011110100111011001100
321010021022112101200022120
4131101012023310323030
5230422440340400022
64135535343412540
7265206650426244
oct35210613647314
97107275350276
102011222200012
11705a55554853
122859562b4150
131178715198cc
146d4b5080b24
15374b330dd5c
hex1d4462f4ecc

2011222200012 has 96 divisors (see below), whose sum is σ = 4991528203200. Its totient is φ = 628100628480.

The previous prime is 2011222199977. The next prime is 2011222200049. The reversal of 2011222200012 is 2100022221102.

It is a super-2 number, since 2×20112222000122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2011222199964 and 2011222200000.

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, 149894328 + ... + 149907744.

It is an arithmetic number, because the mean of its divisors is an integer number (51995085450).

Almost surely, 22011222200012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011222200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495764101600).

2011222200012 is an abundant number, since it is smaller than the sum of its proper divisors (2980306003188).

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

2011222200012 is a wasteful number, since it uses less digits than its factorization.

2011222200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16731 (or 16729 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2011222200012 its reverse (2100022221102), we get a palindrome (4111244421114).

The spelling of 2011222200012 in words is "two trillion, eleven billion, two hundred twenty-two million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 241 482 723 964 1446 2892 3049 4097 6098 8194 9147 12196 12291 13417 16388 18294 24582 26834 36588 40251 49164 51833 53668 80502 103666 155499 161004 207332 228089 310998 456178 621996 684267 734809 912356 1368534 1469618 2204427 2737068 2939236 3233497 4408854 6466994 8817708 9700491 12491753 12933988 19400982 24983506 37475259 38801964 40908433 49967012 54969449 74950518 81816866 109938898 122725299 149901036 163633732 164908347 219877796 245450598 329816694 490901196 659633388 695443361 1390886722 2086330083 2781773444 4172660166 8345320332 9858932353 19717864706 29576797059 39435729412 59153594118 118307188236 167601850001 335203700002 502805550003 670407400004 1005611100006 2011222200012