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1311130631430 = 232585131711279
BaseRepresentation
bin10011000101000101011…
…110011011110100000110
311122100020221121010002200
4103011011132123310012
5132440143420201210
62442154115415330
7163504016325024
oct23050536336406
94570227533080
101311130631430
11466058073344
12192132bb4546
13968400cba99
144765d941714
152418b1ba0c0
hex1314579bd06

1311130631430 has 48 divisors (see below), whose sum is σ = 3409342073280. Its totient is φ = 349593560064.

The previous prime is 1311130631417. The next prime is 1311130631431. The reversal of 1311130631430 is 341360311131.

1311130631430 is a `hidden beast` number, since 1 + 3 + 1 + 11 + 306 + 314 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1311130631394 and 1311130631403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311130631431) 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, 89470 + ... + 1621809.

It is an arithmetic number, because the mean of its divisors is an integer number (71027959860).

Almost surely, 21311130631430 is an apocalyptic number.

1311130631430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1311130631430 is an abundant number, since it is smaller than the sum of its proper divisors (2098211441850).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311130631430 is a wasteful number, since it uses less digits than its factorization.

1311130631430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719805 (or 1719802 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 1311130631430 its reverse (341360311131), we get a palindrome (1652490942561).

The spelling of 1311130631430 in words is "one trillion, three hundred eleven billion, one hundred thirty million, six hundred thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 8513 17026 25539 42565 51078 76617 85130 127695 153234 255390 383085 766170 1711279 3422558 5133837 8556395 10267674 15401511 17112790 25669185 30803022 51338370 77007555 154015110 14568118127 29136236254 43704354381 72840590635 87408708762 131113063143 145681181270 218521771905 262226126286 437043543810 655565315715 1311130631430