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1102000022112 = 253117114698037
BaseRepresentation
bin10000000010010100010…
…100011110001001100000
310220100110021110102021210
4100002110110132021200
5121023344001201422
62202130220550120
7142421405430543
oct20022424361140
93810407412253
101102000022112
113953a0313230
121596a96b2340
137cbc225c702
143b4a0d6a85a
151d9eb36a10c
hex1009451e260

1102000022112 has 96 divisors (see below), whose sum is σ = 3200174417664. Its totient is φ = 329236006400.

The previous prime is 1102000022093. The next prime is 1102000022177. The reversal of 1102000022112 is 2112200002011.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7274043 + ... + 7423994.

It is an arithmetic number, because the mean of its divisors is an integer number (33335150184).

Almost surely, 21102000022112 is an apocalyptic number.

1102000022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1102000022112 is an abundant number, since it is smaller than the sum of its proper divisors (2098174395552).

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

1102000022112 is a wasteful number, since it uses less digits than its factorization.

1102000022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14698132 (or 14698124 counting only the distinct ones).

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

Adding to 1102000022112 its reverse (2112200002011), we get a palindrome (3214200024123).

The spelling of 1102000022112 in words is "one trillion, one hundred two billion, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 71 88 96 132 142 176 213 264 284 352 426 528 568 781 852 1056 1136 1562 1704 2272 2343 3124 3408 4686 6248 6816 9372 12496 18744 24992 37488 74976 14698037 29396074 44094111 58792148 88188222 117584296 161678407 176376444 235168592 323356814 352752888 470337184 485035221 646713628 705505776 970070442 1043560627 1293427256 1411011552 1940140884 2087121254 2586854512 3130681881 3880281768 4174242508 5173709024 6261363762 7760563536 8348485016 11479166897 12522727524 15521127072 16696970032 22958333794 25045455048 33393940064 34437500691 45916667588 50090910096 68875001382 91833335176 100181820192 137750002764 183666670352 275500005528 367333340704 551000011056 1102000022112