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112132221312 = 273377892189
BaseRepresentation
bin110100001101110011…
…0011110100110000000
3101201102200120001010210
41220123212132212000
53314121322040222
6123302434354120
711046512104056
oct1503346364600
9351380501123
10112132221312
1143611796591
1219894a2b940
13a760189b17
1455da45a1d6
152db43c6d0c
hex1a1b99e980

112132221312 has 64 divisors (see below), whose sum is σ = 305901284400. Its totient is φ = 36367202304.

The previous prime is 112132221293. The next prime is 112132221319. The reversal of 112132221312 is 213122231211.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112132221319) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3931887 + ... + 3960302.

Almost surely, 2112132221312 is an apocalyptic number.

112132221312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112132221312 is an abundant number, since it is smaller than the sum of its proper divisors (193769063088).

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

112132221312 is an equidigital number, since it uses as much as digits as its factorization.

112132221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7892243 (or 7892231 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

Adding to 112132221312 its reverse (213122231211), we get a palindrome (325254452523).

The spelling of 112132221312 in words is "one hundred twelve billion, one hundred thirty-two million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1776 2368 3552 4736 7104 14208 7892189 15784378 23676567 31568756 47353134 63137512 94706268 126275024 189412536 252550048 292010993 378825072 505100096 584021986 757650144 876032979 1010200192 1168043972 1515300288 1752065958 2336087944 3030600576 3504131916 4672175888 7008263832 9344351776 14016527664 18688703552 28033055328 37377407104 56066110656 112132221312