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33300131022013 = 177692547244781
BaseRepresentation
bin1111001001001010010100…
…11110110000010010111101
311100220110110101102200002111
413210211022132300102331
513331042132020201023
6154453511412054021
710004566201264222
oct744451236602275
9140813411380074
1033300131022013
11a679562913889
123899956604311
13157725bc8376b
14831a4096d949
153cb32d45d00d
hex1e494a7b04bd

33300131022013 has 8 divisors (see below), whose sum is σ = 35304812678520. Its totient is φ = 31300543856640.

The previous prime is 33300131021987. The next prime is 33300131022023. The reversal of 33300131022013 is 31022013100333.

It can be written as a sum of positive squares in 4 ways, for example, as 5657752231609 + 27642378790404 = 2378603^2 + 5257602^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33300131022013 is a prime.

It is a super-2 number, since 2×333001310220132 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33300131022023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1273609318 + ... + 1273635463.

It is an arithmetic number, because the mean of its divisors is an integer number (4413101584815).

Almost surely, 233300131022013 is an apocalyptic number.

It is an amenable number.

33300131022013 is a deficient number, since it is larger than the sum of its proper divisors (2004681656507).

33300131022013 is a wasteful number, since it uses less digits than its factorization.

33300131022013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2547245567.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 33300131022013 its reverse (31022013100333), we get a palindrome (64322144122346).

The spelling of 33300131022013 in words is "thirty-three trillion, three hundred billion, one hundred thirty-one million, twenty-two thousand, thirteen".

Divisors: 1 17 769 13073 2547244781 43303161277 1958831236589 33300131022013