Search a number
-
+
133031346357 = 37131923125339
BaseRepresentation
bin111101111100101001…
…0010100000010110101
3110201101011221121002010
41323321102110002311
54134422011040412
6141040323234433
712416432533560
oct1737122240265
9421334847063
10133031346357
11514667aa558
1221947b18a19
13c710c12ac0
14661dd114d7
1536d904a33c
hex1ef94940b5

133031346357 has 32 divisors (see below), whose sum is σ = 218327818240. Its totient is φ = 70163962560.

The previous prime is 133031346311. The next prime is 133031346373. The reversal of 133031346357 is 753643130331.

It is not a de Polignac number, because 133031346357 - 26 = 133031346293 is a prime.

It is a super-2 number, since 2×1330313463572 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133031345357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5237394 + ... + 5262732.

It is an arithmetic number, because the mean of its divisors is an integer number (6822744320).

Almost surely, 2133031346357 is an apocalyptic number.

It is an amenable number.

133031346357 is a deficient number, since it is larger than the sum of its proper divisors (85296471883).

133031346357 is a wasteful number, since it uses less digits than its factorization.

133031346357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44593.

The product of its (nonzero) digits is 204120, while the sum is 39.

Adding to 133031346357 its reverse (753643130331), we get a palindrome (886674476688).

The spelling of 133031346357 in words is "one hundred thirty-three billion, thirty-one million, three hundred forty-six thousand, three hundred fifty-seven".

Divisors: 1 3 7 13 21 39 91 273 19231 25339 57693 76017 134617 177373 250003 329407 403851 532119 750009 988221 1750021 2305849 5250063 6917547 487294309 1461882927 3411060163 6334826017 10233180489 19004478051 44343782119 133031346357