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112002201122112 = 2632727778323691
BaseRepresentation
bin11001011101110110001011…
…011010010111010101000000
3112200120022020222012012222100
4121131312023122113111000
5104140021001441401422
61034113033442310400
732406614645326350
oct3135661332272500
9480508228165870
10112002201122112
1132761959707664
121068a93a658400
134a659ba86ab42
141d92d14c80b60
15ce367aa7e7ac
hex65dd8b697540

112002201122112 has 84 divisors (see below), whose sum is σ = 366896099323936. Its totient is φ = 32000628890880.

The previous prime is 112002201122107. The next prime is 112002201122117. The reversal of 112002201122112 is 211221102200211.

112002201122112 is a `hidden beast` number, since 1 + 1 + 200 + 220 + 11 + 221 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (112002201122107) and next prime (112002201122117).

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112002201122117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13889157814 + ... + 13889165877.

Almost surely, 2112002201122112 is an apocalyptic number.

112002201122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112002201122112 is an abundant number, since it is smaller than the sum of its proper divisors (254893898201824).

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

112002201122112 is a wasteful number, since it uses less digits than its factorization.

112002201122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27778323716 (or 27778323703 counting only the distinct ones).

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

Adding to 112002201122112 its reverse (211221102200211), we get a palindrome (323223303322323).

The spelling of 112002201122112 in words is "one hundred twelve trillion, two billion, two hundred one million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 27778323691 55556647382 83334971073 111113294764 166669942146 194448265837 222226589528 250004913219 333339884292 388896531674 444453179056 500009826438 583344797511 666679768584 777793063348 888906358112 1000019652876 1166689595022 1333359537168 1555586126696 1750034392533 1777812716224 2000039305752 2333379190044 2666719074336 3111172253392 3500068785066 4000078611504 4666758380088 5333438148672 6222344506784 7000137570132 8000157223008 9333516760176 12444689013568 14000275140264 16000314446016 18667033520352 28000550280528 37334067040704 56001100561056 112002201122112