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112166997150 = 235213142940253
BaseRepresentation
bin110100001110110101…
…1001000110010011110
3101201112002222211121210
41220131223020302132
53314204222402100
6123310120005250
711050413513255
oct1503553106236
9351462884553
10112166997150
114362a38914a
12198a4600826
13a767444840
145600d0d79c
152db7495c50
hex1a1dac8c9e

112166997150 has 96 divisors (see below), whose sum is σ = 299789249760. Its totient is φ = 27590330880.

The previous prime is 112166997139. The next prime is 112166997157. The reversal of 112166997150 is 51799661211.

It is a self number, because there is not a number n which added to its sum of digits gives 112166997150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112166997157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2766424 + ... + 2806676.

It is an arithmetic number, because the mean of its divisors is an integer number (3122804685).

Almost surely, 2112166997150 is an apocalyptic number.

112166997150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112166997150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149894624880).

112166997150 is an abundant number, since it is smaller than the sum of its proper divisors (187622252610).

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

112166997150 is a wasteful number, since it uses less digits than its factorization.

112166997150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41710 (or 41705 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 48.

The spelling of 112166997150 in words is "one hundred twelve billion, one hundred sixty-six million, nine hundred ninety-seven thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1429 1950 2858 4287 7145 8574 14290 18577 21435 35725 37154 40253 42870 55731 71450 80506 92885 107175 111462 120759 185770 201265 214350 241518 278655 402530 464425 523289 557310 603795 928850 1006325 1046578 1207590 1393275 1569867 2012650 2616445 2786550 3018975 3139734 5232890 6037950 7849335 13082225 15698670 26164450 39246675 57521537 78493350 115043074 172564611 287607685 345129222 575215370 747779981 862823055 1438038425 1495559962 1725646110 2243339943 2876076850 3738899905 4314115275 4486679886 7477799810 8628230550 11216699715 18694499525 22433399430 37388999050 56083498575 112166997150