Search a number
-
+
131413330322241 = 3115371917413047
BaseRepresentation
bin11101111000010100001100…
…110111110110001101000001
3122020021222202221100121122020
4131320110030313312031001
5114211034000030302431
61143254241151432053
736452204555215662
oct3570241467661501
9566258687317566
10131413330322241
1138966098034960
12128a494a525629
1358432bab173a6
142464620d5b369
15102d567b58696
hex77850cdf6341

131413330322241 has 16 divisors (see below), whose sum is σ = 191147043898368. Its totient is φ = 79644283614800.

The previous prime is 131413330322233. The next prime is 131413330322273. The reversal of 131413330322241 is 142223033314131.

It is a cyclic number.

It is not a de Polignac number, because 131413330322241 - 23 = 131413330322233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (131413330322221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14020780 + ... + 21433826.

It is an arithmetic number, because the mean of its divisors is an integer number (11946690243648).

Almost surely, 2131413330322241 is an apocalyptic number.

131413330322241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131413330322241 is a deficient number, since it is larger than the sum of its proper divisors (59733713576127).

131413330322241 is a wasteful number, since it uses less digits than its factorization.

131413330322241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7950252.

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 131413330322241 its reverse (142223033314131), we get a palindrome (273636363636372).

The spelling of 131413330322241 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred thirty million, three hundred twenty-two thousand, two hundred forty-one".

Divisors: 1 3 11 33 537191 1611573 5909101 7413047 17727303 22239141 81543517 244630551 3982222130977 11946666392931 43804443440747 131413330322241