Search a number
-
+
131303122020031 = 1371196877225931
BaseRepresentation
bin11101110110101101100011…
…111100100010011010111111
3122012220110022022222210100111
4131312231203330202122333
5114202232243214120111
61143131453241210451
736441223524132313
oct3566554374423277
9565813268883314
10131303122020031
1138923383351265
1212887511a90a27
135835aa6417350
14245d168233b43
15102a767616a21
hex776b63f226bf

131303122020031 has 16 divisors (see below), whose sum is σ = 143402262409728. Its totient is φ = 119489712703200.

The previous prime is 131303122020001. The next prime is 131303122020043. The reversal of 131303122020031 is 130020221303131.

It is a cyclic number.

It is not a de Polignac number, because 131303122020031 - 211 = 131303122017983 is a prime.

It is a super-3 number, since 3×1313031220200313 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131303122019984 and 131303122020011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131303122020001) 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, 14558136 + ... + 21784066.

It is an arithmetic number, because the mean of its divisors is an integer number (8962641400608).

Almost surely, 2131303122020031 is an apocalyptic number.

131303122020031 is a deficient number, since it is larger than the sum of its proper divisors (12099140389697).

131303122020031 is a wasteful number, since it uses less digits than its factorization.

131303122020031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7245702.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 131303122020031 its reverse (130020221303131), we get a palindrome (261323343323162).

The spelling of 131303122020031 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred twenty-two million, twenty thousand, thirty-one".

Divisors: 1 13 71 923 19687 255931 1397777 7225931 18171101 93937103 513041101 6669534313 142256903597 1849339746761 10100240155387 131303122020031