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112212398916 = 2232171693108301
BaseRepresentation
bin110100010000001100…
…0010101001101000100
3101201122021102111010200
41220200120111031010
53314302333231131
6123314421050500
711051504440032
oct1504030251504
9351567374120
10112212398916
1143652a79172
12198b7856a30
13a77397cca7
145606d6b552
152dbb4632e6
hex1a20615344

112212398916 has 72 divisors (see below), whose sum is σ = 300513357144. Its totient is φ = 35182771200.

The previous prime is 112212398897. The next prime is 112212398923. The reversal of 112212398916 is 619893212211.

It can be written as a sum of positive squares in 4 ways, for example, as 50557522500 + 61654876416 = 224850^2 + 248304^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 981966 + ... + 1090266.

It is an arithmetic number, because the mean of its divisors is an integer number (4173796627).

Almost surely, 2112212398916 is an apocalyptic number.

It is an amenable number.

112212398916 is an abundant number, since it is smaller than the sum of its proper divisors (188300958228).

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

112212398916 is a wasteful number, since it uses less digits than its factorization.

112212398916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110021 (or 110016 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The spelling of 112212398916 in words is "one hundred twelve billion, two hundred twelve million, three hundred ninety-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1693 3386 5079 6772 10158 15237 20316 28781 30474 57562 60948 86343 108301 115124 172686 216602 259029 324903 345372 433204 518058 649806 974709 1036116 1299612 1841117 1949418 3682234 3898836 5523351 7364468 11046702 16570053 22093404 33140106 66280212 183353593 366707186 550060779 733414372 1100121558 1650182337 2200243116 3117011081 3300364674 6234022162 6600729348 9351033243 12468044324 18702066486 28053099729 37404132972 56106199458 112212398916