Search a number
-
+
112263261132 = 223117111978581
BaseRepresentation
bin110100010001101101…
…0010110101111001100
3101201202211010112222110
41220203122112233030
53314403343324012
6123323435144020
711052662655261
oct1504332265714
9351684115873
10112263261132
1143679758760
12199108a5010
13a78137a989
14560da0b268
152dc0b5d73c
hex1a23696bcc

112263261132 has 48 divisors (see below), whose sum is σ = 289785855744. Its totient is φ = 33540024000.

The previous prime is 112263261127. The next prime is 112263261157. The reversal of 112263261132 is 231162362211.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 112263261132.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5979919 + ... + 5998662.

It is an arithmetic number, because the mean of its divisors is an integer number (6037205328).

Almost surely, 2112263261132 is an apocalyptic number.

112263261132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112263261132 is an abundant number, since it is smaller than the sum of its proper divisors (177522594612).

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

112263261132 is a wasteful number, since it uses less digits than its factorization.

112263261132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11978670 (or 11978668 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The spelling of 112263261132 in words is "one hundred twelve billion, two hundred sixty-three million, two hundred sixty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 284 426 781 852 1562 2343 3124 4686 9372 11978581 23957162 35935743 47914324 71871486 131764391 143742972 263528782 395293173 527057564 790586346 850479251 1581172692 1700958502 2551437753 3401917004 5102875506 9355271761 10205751012 18710543522 28065815283 37421087044 56131630566 112263261132