Search a number
-
+
1330012132101 = 32822117975809
BaseRepresentation
bin10011010110101010111…
…001101001001100000101
311201010222211110201201100
4103112222321221030011
5133242331101211401
62454555451450313
7165042640406652
oct23265271511405
94633884421640
101330012132101
114730671a2254
12195922456999
139855bb496a3
1448531470c29
15248e3b48b86
hex135aae69305

1330012132101 has 12 divisors (see below), whose sum is σ = 1921362427660. Its totient is φ = 886566850560.

The previous prime is 1330012132081. The next prime is 1330012132129. The reversal of 1330012132101 is 1012312100331.

1330012132101 is a `hidden beast` number, since 1 + 330 + 0 + 12 + 1 + 321 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1131140729601 + 198871402500 = 1063551^2 + 445950^2 .

It is not a de Polignac number, because 1330012132101 - 29 = 1330012131589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330012132181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8913916 + ... + 9061893.

Almost surely, 21330012132101 is an apocalyptic number.

It is an amenable number.

1330012132101 is a deficient number, since it is larger than the sum of its proper divisors (591350295559).

1330012132101 is a wasteful number, since it uses less digits than its factorization.

1330012132101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17984036 (or 17984033 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1330012132101 its reverse (1012312100331), we get a palindrome (2342324232432).

The spelling of 1330012132101 in words is "one trillion, three hundred thirty billion, twelve million, one hundred thirty-two thousand, one hundred one".

Divisors: 1 3 9 8221 24663 73989 17975809 53927427 161782281 147779125789 443337377367 1330012132101