Search a number
-
+
131430023400333 = 3721735168102843
BaseRepresentation
bin11101111000100011101111…
…110110111000101110001101
3122020100120212022022211211210
4131320203233312320232031
5114211322141442302313
61143310041430205033
736453335334101100
oct3570435766705615
9566316768284753
10131430023400333
1138972183921569
12128a8028ab3779
135844a4b3581a8
142465365d84737
15102dbe34059c3
hex7788efdb8b8d

131430023400333 has 24 divisors (see below), whose sum is σ = 205028976027168. Its totient is φ = 74668749861216.

The previous prime is 131430023400307. The next prime is 131430023400397. The reversal of 131430023400333 is 333004320034131.

It is not a de Polignac number, because 131430023400333 - 214 = 131430023383949 is a prime.

It is a super-3 number, since 3×1314300234003333 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131430023400333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131430023400833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2584025991 + ... + 2584076852.

It is an arithmetic number, because the mean of its divisors is an integer number (8542874001132).

Almost surely, 2131430023400333 is an apocalyptic number.

It is an amenable number.

131430023400333 is a deficient number, since it is larger than the sum of its proper divisors (73598952626835).

131430023400333 is a wasteful number, since it uses less digits than its factorization.

131430023400333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5168103033 (or 5168103026 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 131430023400333 its reverse (333004320034131), we get a palindrome (464434343434464).

The spelling of 131430023400333 in words is "one hundred thirty-one trillion, four hundred thirty billion, twenty-three million, four hundred thousand, three hundred thirty-three".

Divisors: 1 3 7 21 49 147 173 519 1211 3633 8477 25431 5168102843 15504308529 36176719901 108530159703 253237039307 759711117921 894081791839 2682245375517 6258572542873 18775717628619 43810007800111 131430023400333