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2212012111104 = 28325318114617
BaseRepresentation
bin100000001100000110001…
…100100011010100000000
321211110120221001000010100
4200030012030203110000
5242220200100023404
64412103452202400
7315545502500115
oct40140614432400
97743527030110
102212012111104
11783122195934
122b8852469400
131307903987a3
14790c202290c
153c815cb5d39
hex20306323500

2212012111104 has 108 divisors (see below), whose sum is σ = 6498111998196. Its totient is φ = 723425304576.

The previous prime is 2212012111093. The next prime is 2212012111129. The reversal of 2212012111104 is 4011112102122.

It can be written as a sum of positive squares in 2 ways, for example, as 690361574400 + 1521650536704 = 830880^2 + 1233552^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8935197 + ... + 9179420.

It is an arithmetic number, because the mean of its divisors is an integer number (60167703687).

Almost surely, 22212012111104 is an apocalyptic number.

2212012111104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2212012111104 is an abundant number, since it is smaller than the sum of its proper divisors (4286099887092).

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

2212012111104 is a wasteful number, since it uses less digits than its factorization.

2212012111104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18114692 (or 18114675 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2212012111104 its reverse (4011112102122), we get a palindrome (6223124213226).

The spelling of 2212012111104 in words is "two trillion, two hundred twelve billion, twelve million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 256 288 318 384 424 477 576 636 768 848 954 1152 1272 1696 1908 2304 2544 3392 3816 5088 6784 7632 10176 13568 15264 20352 30528 40704 61056 122112 18114617 36229234 54343851 72458468 108687702 144916936 163031553 217375404 289833872 326063106 434750808 579667744 652126212 869501616 960074701 1159335488 1304252424 1739003232 1920149402 2318670976 2608504848 2880224103 3478006464 3840298804 4637341952 5217009696 5760448206 6956012928 7680597608 8640672309 10434019392 11520896412 13912025856 15361195216 17281344618 20868038784 23041792824 30722390432 34562689236 41736077568 46083585648 61444780864 69125378472 92167171296 122889561728 138250756944 184334342592 245779123456 276501513888 368668685184 553003027776 737337370368 1106006055552 2212012111104