Search a number
-
+
131044251002541 = 3192127952765001
BaseRepresentation
bin11101110010111100011110…
…000001111110011010101101
3122011222201010011111112221220
4131302330132001332122231
5114134012111224040131
61142412521533013553
736413430462603642
oct3562743601763255
9564881104445856
10131044251002541
11388336114132a8
12128453066242b9
13581755c5287a6
14245080b5c3dc9
151023b65aece96
hex772f1e07e6ad

131044251002541 has 24 divisors (see below), whose sum is σ = 185857774470144. Its totient is φ = 82113098760000.

The previous prime is 131044251002387. The next prime is 131044251002573. The reversal of 131044251002541 is 145200152440131.

It is not a de Polignac number, because 131044251002541 - 218 = 131044250740397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131044251002591) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 476244960 + ... + 476520041.

It is an arithmetic number, because the mean of its divisors is an integer number (7744073936256).

Almost surely, 2131044251002541 is an apocalyptic number.

It is an amenable number.

131044251002541 is a deficient number, since it is larger than the sum of its proper divisors (54813523467603).

131044251002541 is a wasteful number, since it uses less digits than its factorization.

131044251002541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952765169 (or 952765150 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 131044251002541 in words is "one hundred thirty-one trillion, forty-four billion, two hundred fifty-one million, two thousand, five hundred forty-one".

Divisors: 1 3 19 57 127 361 381 1083 2413 7239 45847 137541 952765001 2858295003 18102535019 54307605057 121001155127 343948165361 363003465381 1031844496083 2299021947413 6897065842239 43681417000847 131044251002541