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1122101220112 = 243122964715269
BaseRepresentation
bin10000010101000010011…
…100011101001100010000
310222021100011102002002121
4100111002130131030100
5121341030403020422
62215253003224024
7144032466666415
oct20250234351420
93867304362077
101122101220112
113a2975981864
12161579518014
1381a768aa202
143c44a87610c
151e2c5e258c7
hex1054271d310

1122101220112 has 80 divisors (see below), whose sum is σ = 2257634073600. Its totient is φ = 539710364160.

The previous prime is 1122101220101. The next prime is 1122101220151. The reversal of 1122101220112 is 2110221012211.

It is a super-2 number, since 2×11221012201122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73481214 + ... + 73496482.

It is an arithmetic number, because the mean of its divisors is an integer number (28220425920).

Almost surely, 21122101220112 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 1122101220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128817036800).

1122101220112 is an abundant number, since it is smaller than the sum of its proper divisors (1135532853488).

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

1122101220112 is a wasteful number, since it uses less digits than its factorization.

1122101220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16184 (or 16178 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1122101220112 its reverse (2110221012211), we get a palindrome (3232322232323).

The spelling of 1122101220112 in words is "one trillion, one hundred twenty-two billion, one hundred one million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 62 124 229 248 458 496 647 916 1294 1832 2588 3664 5176 7099 10352 14198 15269 20057 28396 30538 40114 56792 61076 80228 113584 122152 148163 160456 244304 296326 320912 473339 592652 946678 1185304 1893356 2370608 3496601 3786712 4593053 6993202 7573424 9186106 9879043 13986404 18372212 19758086 27972808 36744424 39516172 55945616 73488848 79032344 108394631 158064688 216789262 306250333 433578524 612500666 867157048 1225001332 1734314096 2262300847 2450002664 4524601694 4900005328 9049203388 18098406776 36196813552 70131326257 140262652514 280525305028 561050610056 1122101220112