Search a number
-
+
132616121616231 = 3114018670352007
BaseRepresentation
bin11110001001110100011000…
…110100100000011101100111
3122101112222101112101011010120
4132021310120310200131213
5114340240304113204411
61150015001043253023
736635125056430251
oct3611643064403547
9571488345334116
10132616121616231
113928a1aa3a2490
1212a59a8697a173
1358cc8537a1736
1424a6924080cd1
15104e9b290e106
hex789d18d20767

132616121616231 has 8 divisors (see below), whose sum is σ = 192896176896384. Its totient is φ = 80373407040120.

The previous prime is 132616121616221. The next prime is 132616121616233.

132616121616231 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 132616121616231 - 213 = 132616121608039 is a prime.

It is a super-2 number, since 2×1326161216162312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132616121616233) 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, 2009335175971 + ... + 2009335176036.

It is an arithmetic number, because the mean of its divisors is an integer number (24112022112048).

Almost surely, 2132616121616231 is an apocalyptic number.

132616121616231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132616121616231 is a deficient number, since it is larger than the sum of its proper divisors (60280055280153).

132616121616231 is a wasteful number, since it uses less digits than its factorization.

132616121616231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4018670352021.

The product of its digits is 93312, while the sum is 42.

The spelling of 132616121616231 in words is "one hundred thirty-two trillion, six hundred sixteen billion, one hundred twenty-one million, six hundred sixteen thousand, two hundred thirty-one".

Divisors: 1 3 11 33 4018670352007 12056011056021 44205373872077 132616121616231