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112130020016 = 2472834497879
BaseRepresentation
bin110100001101101111…
…0000101001010110000
3101201102112102012112022
41220123132011022300
53314120241120031
6123302315251012
711046454305230
oct1503336051260
9351375365468
10112130020016
1143610522733
1219894149a68
13a75c898b91
1455da045cc0
152db40de97b
hex1a1b7852b0

112130020016 has 80 divisors (see below), whose sum is σ = 249751872000. Its totient is φ = 47773200384.

The previous prime is 112130020001. The next prime is 112130020069. The reversal of 112130020016 is 610020031211.

It is a junction number, because it is equal to n+sod(n) for n = 112130019976 and 112130020003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14227565 + ... + 14235443.

It is an arithmetic number, because the mean of its divisors is an integer number (3121898400).

Almost surely, 2112130020016 is an apocalyptic number.

112130020016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

112130020016 is an abundant number, since it is smaller than the sum of its proper divisors (137621851984).

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

112130020016 is a wasteful number, since it uses less digits than its factorization.

112130020016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8626 (or 8620 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 112130020016 its reverse (610020031211), we get a palindrome (722150051227).

The spelling of 112130020016 in words is "one hundred twelve billion, one hundred thirty million, twenty thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 112 283 449 566 898 1132 1796 1981 2264 3143 3592 3962 4528 6286 7184 7879 7924 12572 15758 15848 25144 31516 31696 50288 55153 63032 110306 126064 127067 220612 254134 441224 508268 882448 889469 1016536 1778938 2033072 2229757 3537671 3557876 4459514 7075342 7115752 8919028 14150684 14231504 15608299 17838056 24763697 28301368 31216598 35676112 49527394 56602736 62433196 99054788 124866392 198109576 249732784 396219152 1001160893 2002321786 4004643572 7008126251 8009287144 14016252502 16018574288 28032505004 56065010008 112130020016