Search a number
-
+
313262161232127 = 317294720483220013
BaseRepresentation
bin100011100111010010000011…
…1110101111000000011111111
31112002011120101122001120111120
41013032210013311320003333
5312024441401233412002
63030130352233522023
7122661305246115462
oct10716440765700377
91462146348046446
10313262161232127
11908a6811319128
122b17437bb73313
13105a4658816153
14574dd8045b2d9
152633a037cccbc
hex11ce907d780ff

313262161232127 has 64 divisors (see below), whose sum is σ = 467261579335680. Its totient is φ = 185731074873344.

The previous prime is 313262161232101. The next prime is 313262161232291. The reversal of 313262161232127 is 721232161262313.

It is a cyclic number.

It is not a de Polignac number, because 313262161232127 - 28 = 313262161231871 is a prime.

It is a super-3 number, since 3×3132621612321273 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313262161230127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1423724773 + ... + 1423944785.

It is an arithmetic number, because the mean of its divisors is an integer number (7300962177120).

Almost surely, 2313262161232127 is an apocalyptic number.

313262161232127 is a deficient number, since it is larger than the sum of its proper divisors (153999418103553).

313262161232127 is a wasteful number, since it uses less digits than its factorization.

313262161232127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240592.

The product of its digits is 217728, while the sum is 42.

The spelling of 313262161232127 in words is "three hundred thirteen trillion, two hundred sixty-two billion, one hundred sixty-one million, two hundred thirty-two thousand, one hundred twenty-seven".

Divisors: 1 3 17 29 47 51 87 141 493 799 1363 1479 2397 4089 20483 23171 61449 69513 220013 348211 594007 660039 962701 1044633 1782021 2888103 3740221 6380377 10098119 10340611 11220663 16365917 19141131 27918329 30294357 31021833 49097751 83754987 108466409 175790387 299877719 325399227 474611593 527371161 899633157 1423834779 4506526279 5097921223 13519578837 15293763669 76610946743 130689262091 211806735113 229832840229 392067786273 635420205339 2221717455547 3600714496921 6142395318277 6665152366641 10802143490763 18427185954831 104420720410709 313262161232127