Search a number
-
+
2131261134 = 2317273113149
BaseRepresentation
bin111111100001000…
…0111011011001110
312111112100021122120
41333002013123032
513331100324014
6551252153410
7103546264212
oct17702073316
95445307576
102131261134
119a4050042
124b5908866
1327c714b82
141630a6942
15c718eba9
hex7f0876ce

2131261134 has 96 divisors (see below), whose sum is σ = 4661733600. Its totient is φ = 649248768.

The previous prime is 2131261123. The next prime is 2131261177. The reversal of 2131261134 is 4311621312.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14303692 + ... + 14303840.

It is an arithmetic number, because the mean of its divisors is an integer number (48559725).

Almost surely, 22131261134 is an apocalyptic number.

2131261134 is an abundant number, since it is smaller than the sum of its proper divisors (2530472466).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2131261134 is a wasteful number, since it uses less digits than its factorization.

2131261134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 357 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 2131261134 is about 46165.5838693718. The cubic root of 2131261134 is about 1286.9022347672.

Adding to 2131261134 its reverse (4311621312), we get a palindrome (6442882446).

The spelling of 2131261134 in words is "two billion, one hundred thirty-one million, two hundred sixty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 17 34 51 73 102 113 146 149 219 226 289 298 339 438 447 578 678 867 894 1241 1734 1921 2482 2533 3723 3842 5066 5763 7446 7599 8249 10877 11526 15198 16498 16837 21097 21754 24747 32631 32657 33674 42194 43061 49494 50511 63291 65262 65314 86122 97971 101022 126582 129183 140233 184909 195942 258366 280466 286229 369818 420699 554727 572458 841398 858687 1109454 1229101 1717374 2383961 2458202 3143453 3687303 4767922 4865893 6286906 7151883 7374606 9430359 9731786 14303766 14597679 18860718 20894717 29195358 41789434 62684151 125368302 355210189 710420378 1065630567 2131261134