Search a number
-
+
133242242242331 = 977611805034643
BaseRepresentation
bin11110010010111011100000…
…100001001001011100011011
3122110202211111221210111110002
4132102323200201021130123
5114431020103003223311
61151214350245243215
740031301655100165
oct3622734041113433
9573684457714402
10133242242242331
1139500799144a82
1212b3b2a540350b
1359468c6b88501
1424c8d5d459935
151060e0aa0b93b
hex792ee084971b

133242242242331 has 8 divisors (see below), whose sum is σ = 134792767075344. Its totient is φ = 131695327480320.

The previous prime is 133242242242303. The next prime is 133242242242379.

133242242242331 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is not a de Polignac number, because 133242242242331 - 26 = 133242242242267 is a prime.

It is a super-2 number, since 2×1332422422423312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133242242242301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 902443505 + ... + 902591138.

It is an arithmetic number, because the mean of its divisors is an integer number (16849095884418).

Almost surely, 2133242242242331 is an apocalyptic number.

133242242242331 is a deficient number, since it is larger than the sum of its proper divisors (1550524833013).

133242242242331 is an equidigital number, since it uses as much as digits as its factorization.

133242242242331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805035501.

The product of its digits is 331776, while the sum is 38.

The spelling of 133242242242331 in words is "one hundred thirty-three trillion, two hundred forty-two billion, two hundred forty-two million, two hundred forty-two thousand, three hundred thirty-one".

Divisors: 1 97 761 73817 1805034643 175088360371 1373631363323 133242242242331