Search a number
-
+
10131411141331 = 107101779303929
BaseRepresentation
bin1001001101101110011100…
…1010011000001011010011
31022212112221110110220102221
42103123213022120023103
52311443112223010311
633314150033521511
72063653545536314
oct223334712301323
938775843426387
1010131411141331
113256786511557
121177651113297
135865074aca0c
14270511baa60b
1512881baec671
hex936e72982d3

10131411141331 has 8 divisors (see below), whose sum is σ = 10227103150320. Its totient is φ = 10035737760768.

The previous prime is 10131411141329. The next prime is 10131411141353. The reversal of 10131411141331 is 13314111413101.

10131411141331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10131411141331 - 21 = 10131411141329 is a prime.

It is a super-2 number, since 2×101314111413312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10131411141296 and 10131411141305.

It is not an unprimeable number, because it can be changed into a prime (10131411141031) 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, 3563026 + ... + 5740903.

It is an arithmetic number, because the mean of its divisors is an integer number (1278387893790).

Almost surely, 210131411141331 is an apocalyptic number.

10131411141331 is a deficient number, since it is larger than the sum of its proper divisors (95692008989).

10131411141331 is a wasteful number, since it uses less digits than its factorization.

10131411141331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9314213.

The product of its (nonzero) digits is 432, while the sum is 25.

Adding to 10131411141331 its reverse (13314111413101), we get a palindrome (23445522554432).

The spelling of 10131411141331 in words is "ten trillion, one hundred thirty-one billion, four hundred eleven million, one hundred forty-one thousand, three hundred thirty-one".

Divisors: 1 107 10177 1088939 9303929 995520403 94686085433 10131411141331