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112616213160 = 233511521163753
BaseRepresentation
bin110100011100001110…
…0110000101010101000
3101202200102021101010210
41220320130300222220
53321114222310120
6123422444141120
711064510006033
oct1507034605250
9352612241123
10112616213160
114383aa09850
12199aab377a0
13a809528729
14564484601a
152de1b2bce0
hex1a38730aa8

112616213160 has 128 divisors (see below), whose sum is σ = 369271820160. Its totient is φ = 27248332800.

The previous prime is 112616213141. The next prime is 112616213173. The reversal of 112616213160 is 61312616211.

It is a happy number.

It is a super-2 number, since 2×1126162131602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 605844 + ... + 769596.

It is an arithmetic number, because the mean of its divisors is an integer number (2884936095).

Almost surely, 2112616213160 is an apocalyptic number.

112616213160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112616213160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184635910080).

112616213160 is an abundant number, since it is smaller than the sum of its proper divisors (256655607000).

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

112616213160 is a wasteful number, since it uses less digits than its factorization.

112616213160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164299 (or 164295 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

Adding to 112616213160 its reverse (61312616211), we get a palindrome (173928829371).

The spelling of 112616213160 in words is "one hundred twelve billion, six hundred sixteen million, two hundred thirteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 521 660 1042 1320 1563 2084 2605 3126 4168 5210 5731 6252 7815 10420 11462 12504 15630 17193 20840 22924 28655 31260 34386 45848 57310 62520 68772 85965 114620 137544 163753 171930 229240 327506 343860 491259 655012 687720 818765 982518 1310024 1637530 1801283 1965036 2456295 3275060 3602566 3930072 4912590 5403849 6550120 7205132 9006415 9825180 10807698 14410264 18012830 19650360 21615396 27019245 36025660 43230792 54038490 72051320 85315313 108076980 170630626 216153960 255945939 341261252 426576565 511891878 682522504 853153130 938468443 1023783756 1279729695 1706306260 1876936886 2047567512 2559459390 2815405329 3412612520 3753873772 4692342215 5118918780 5630810658 7507747544 9384684430 10237837560 11261621316 14077026645 18769368860 22523242632 28154053290 37538737720 56308106580 112616213160