Search a number
-
+
1331300233530 = 232514792224817
BaseRepresentation
bin10011010111110111101…
…011010111000100111010
311201021022121021001200200
4103113313223113010322
5133303000324433110
62455331344143030
7165116601162501
oct23276753270472
94637277231620
101331300233530
11473668302993
12196021907a76
1398705979897
1448614575838
152496bc886c0
hex135f7ad713a

1331300233530 has 24 divisors (see below), whose sum is σ = 3461380607412. Its totient is φ = 355013395584.

The previous prime is 1331300233391. The next prime is 1331300233547. The reversal of 1331300233530 is 353320031331.

1331300233530 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 300 + 2 + 3 + 353 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1225601770761 + 105698462769 = 1107069^2 + 325113^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1331300233494 and 1331300233503.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7396112319 + ... + 7396112498.

Almost surely, 21331300233530 is an apocalyptic number.

1331300233530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1331300233530 is an abundant number, since it is smaller than the sum of its proper divisors (2130080373882).

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

1331300233530 is a wasteful number, since it uses less digits than its factorization.

1331300233530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14792224830 (or 14792224827 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 27.

Adding to 1331300233530 its reverse (353320031331), we get a palindrome (1684620264861).

The spelling of 1331300233530 in words is "one trillion, three hundred thirty-one billion, three hundred million, two hundred thirty-three thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 14792224817 29584449634 44376674451 73961124085 88753348902 133130023353 147922248170 221883372255 266260046706 443766744510 665650116765 1331300233530