Search a number
-
+
112110199965 = 32517146549281
BaseRepresentation
bin110100001101001001…
…0011110010010011101
3101201101011010020112100
41220122102132102131
53314100202344330
6123300330355313
711046123655641
oct1503222362235
9351334106470
10112110199965
1143600315625
121988958bb39
13a75874963a
1455d7566c21
152db24c7060
hex1a1a49e49d

112110199965 has 24 divisors (see below), whose sum is σ = 205755191928. Its totient is φ = 56274923520.

The previous prime is 112110199951. The next prime is 112110199973. The reversal of 112110199965 is 569991011211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 44861781636 + 67248418329 = 211806^2 + 259323^2 .

It is not a de Polignac number, because 112110199965 - 213 = 112110191773 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 112110199965.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73273876 + ... + 73275405.

It is an arithmetic number, because the mean of its divisors is an integer number (8573132997).

Almost surely, 2112110199965 is an apocalyptic number.

112110199965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112110199965 is a deficient number, since it is larger than the sum of its proper divisors (93644991963).

112110199965 is a wasteful number, since it uses less digits than its factorization.

112110199965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146549309 (or 146549306 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 45.

The spelling of 112110199965 in words is "one hundred twelve billion, one hundred ten million, one hundred ninety-nine thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 146549281 439647843 732746405 1318943529 2198239215 2491337777 6594717645 7474013331 12456688885 22422039993 37370066655 112110199965