Search a number
-
+
131332310010001 = 1372853733592529
BaseRepresentation
bin11101110111001000101111…
…101011111000100010010001
3122020000020122111100022101001
4131313020233223320202101
5114203222032330310001
61143153121425142001
736443306034014062
oct3567105753704221
9566006574308331
10131332310010001
11389347a11a1121
12128910b8a8a901
1358387784b2b29
1424607368a8569
15102b3c4ce5001
hex77722faf8891

131332310010001 has 8 divisors (see below), whose sum is σ = 132295579717320. Its totient is φ = 130369107545088.

The previous prime is 131332310009993. The next prime is 131332310010049. The reversal of 131332310010001 is 100010013233131.

It can be written as a sum of positive squares in 4 ways, for example, as 299073359376 + 131033236650625 = 546876^2 + 11446975^2 .

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 131332310010001 - 23 = 131332310009993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131332310013001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12886696 + ... + 20705833.

It is an arithmetic number, because the mean of its divisors is an integer number (16536947464665).

Almost surely, 2131332310010001 is an apocalyptic number.

It is an amenable number.

131332310010001 is a deficient number, since it is larger than the sum of its proper divisors (963269707319).

131332310010001 is a wasteful number, since it uses less digits than its factorization.

131332310010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33621203.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 131332310010001 its reverse (100010013233131), we get a palindrome (231342323243132).

The spelling of 131332310010001 in words is "one hundred thirty-one trillion, three hundred thirty-two billion, three hundred ten million, ten thousand, one".

Divisors: 1 137 28537 3909569 33592529 4602176473 958630000073 131332310010001