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112143434202 = 2351499291667
BaseRepresentation
bin110100001110001000…
…1010000000111011010
3101201110110122201100000
41220130101100013122
53314132204343302
6123303514553430
711050006314522
oct1503421200732
9351413581300
10112143434202
1143618054a38
1219898738876
13a7625b4777
1455dbb38682
152db538e31c
hex1a1c4501da

112143434202 has 96 divisors (see below), whose sum is σ = 254093112000. Its totient is φ = 37068046848.

The previous prime is 112143434177. The next prime is 112143434239. The reversal of 112143434202 is 202434341211.

112143434202 is a `hidden beast` number, since 1 + 1 + 21 + 4 + 3 + 434 + 202 = 666.

It is a super-2 number, since 2×1121434342022 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67271773 + ... + 67273439.

It is an arithmetic number, because the mean of its divisors is an integer number (2646803250).

Almost surely, 2112143434202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112143434202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127046556000).

112143434202 is an abundant number, since it is smaller than the sum of its proper divisors (141949677798).

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

112143434202 is a wasteful number, since it uses less digits than its factorization.

112143434202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 112143434202 its reverse (202434341211), we get a palindrome (314577775413).

The spelling of 112143434202 in words is "one hundred twelve billion, one hundred forty-three million, four hundred thirty-four thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 149 162 243 298 447 486 894 929 1341 1667 1858 2682 2787 3334 4023 5001 5574 8046 8361 10002 12069 15003 16722 24138 25083 30006 36207 45009 50166 72414 75249 90018 135027 138421 150498 225747 248383 270054 276842 405081 415263 451494 496766 745149 810162 830526 1245789 1490298 1548643 2235447 2491578 3097286 3737367 4470894 4645929 6706341 7474734 9291858 11212101 13412682 13937787 20119023 22424202 27875574 33636303 40238046 41813361 60357069 67272606 83626722 120714138 125440083 230747807 250880166 376320249 461495614 692243421 752640498 1384486842 2076730263 4153460526 6230190789 12460381578 18690572367 37381144734 56071717101 112143434202