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531145095 = 351319232271
BaseRepresentation
bin11111101010001…
…010000110000111
31101000102222002120
4133222022012013
52041433120340
6124412141023
716106441655
oct3752120607
91330388076
10531145095
112528aa198
12129a67773
138606b350
1450781dd5
153196b4d0
hex1fa8a187

531145095 has 96 divisors (see below), whose sum is σ = 1010795520. Its totient is φ = 236079360.

The previous prime is 531144989. The next prime is 531145099. The reversal of 531145095 is 590541135.

It is not a de Polignac number, because 531145095 - 28 = 531144839 is a prime.

It is a super-2 number, since 2×5311450952 = 564230223885118050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531145099) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1959810 + ... + 1960080.

It is an arithmetic number, because the mean of its divisors is an integer number (10529120).

Almost surely, 2531145095 is an apocalyptic number.

531145095 is a deficient number, since it is larger than the sum of its proper divisors (479650425).

531145095 is a wasteful number, since it uses less digits than its factorization.

531145095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 33.

The square root of 531145095 is about 23046.5853219083. The cubic root of 531145095 is about 809.8496367745.

The spelling of 531145095 in words is "five hundred thirty-one million, one hundred forty-five thousand, ninety-five".

Divisors: 1 3 5 13 15 19 23 39 57 65 69 95 115 195 247 271 285 299 345 437 529 741 813 897 1235 1311 1355 1495 1587 2185 2645 3523 3705 4065 4485 5149 5681 6233 6555 6877 7935 10051 10569 15447 17043 17615 18699 20631 25745 28405 30153 31165 34385 50255 52845 66937 77235 81029 85215 93495 103155 118427 130663 143359 150765 200811 243087 334685 355281 391989 405145 430077 592135 653315 716795 1004055 1215435 1539551 1776405 1863667 1959945 2150385 2723821 4618653 5591001 7697755 8171463 9318335 13619105 23093265 27955005 35409673 40857315 106229019 177048365 531145095