Search a number
-
+
1310410133131 = 112103173607769
BaseRepresentation
bin10011000100011010100…
…001111100111010001011
311122021101201212000020111
4103010122201330322023
5132432204443230011
62441554420535151
7163450120230631
oct23043241747213
94567351760214
101310410133131
114658183a3300
12191b718514b7
1396756a63528
14475d1d8d351
1524147ce9121
hex1311a87ce8b

1310410133131 has 24 divisors (see below), whose sum is σ = 1462761387360. Its totient is φ = 1172894997120.

The previous prime is 1310410133047. The next prime is 1310410133141. The reversal of 1310410133131 is 1313310140131.

It is not a de Polignac number, because 1310410133131 - 211 = 1310410131083 is a prime.

It is a super-2 number, since 2×13104101331312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1310410133141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1852215 + ... + 2459983.

It is an arithmetic number, because the mean of its divisors is an integer number (60948391140).

Almost surely, 21310410133131 is an apocalyptic number.

1310410133131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1310410133131 is a deficient number, since it is larger than the sum of its proper divisors (152351254229).

1310410133131 is a wasteful number, since it uses less digits than its factorization.

1310410133131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608067 (or 608056 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 1310410133131 its reverse (1313310140131), we get a palindrome (2623720273262).

The spelling of 1310410133131 in words is "one trillion, three hundred ten billion, four hundred ten million, one hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 11 103 121 173 1133 1903 12463 17819 20933 196009 607769 2156099 6685459 62600207 73540049 105144037 688602277 1156584407 7574625047 10829835811 12722428477 119128193921 1310410133131