Search a number
-
+
132226121281 = 315380478467
BaseRepresentation
bin111101100100101001…
…0100111111001000001
3110122022001202220221011
41323021102213321001
54131244341340111
6140424400400521
712360454325602
oct1731122477101
9418261686834
10132226121281
115109321aa91
1221762316141
13c613150867
146584dc5da9
15368d4e0021
hex1ec94a7e41

132226121281 has 8 divisors (see below), whose sum is σ = 139066792704. Its totient is φ = 125546406960.

The previous prime is 132226121257. The next prime is 132226121297. The reversal of 132226121281 is 182121622231.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132226121281 is a prime.

It is a super-2 number, since 2×1322261212812 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132226161281) 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 7 ways as a sum of consecutive naturals, for example, 40237591 + ... + 40240876.

It is an arithmetic number, because the mean of its divisors is an integer number (17383349088).

Almost surely, 2132226121281 is an apocalyptic number.

It is an amenable number.

132226121281 is a deficient number, since it is larger than the sum of its proper divisors (6840671423).

132226121281 is an equidigital number, since it uses as much as digits as its factorization.

132226121281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80478551.

The product of its digits is 4608, while the sum is 31.

The spelling of 132226121281 in words is "one hundred thirty-two billion, two hundred twenty-six million, one hundred twenty-one thousand, two hundred eighty-one".

Divisors: 1 31 53 1643 80478467 2494832477 4265358751 132226121281