Search a number
-
+
313324204201032 = 233194350459316681
BaseRepresentation
bin100011100111101110111100…
…1111001000001010001001000
31112002101111112111211221201210
41013033131321321001101020
5312032000432233413112
63030215052522013120
7122665632603466653
oct10717357171012110
91462344474757653
10313324204201032
1190920059a20a42
122b1843b60471a0
13105aa4655b367b
145752d8839289a
15263543557eb3c
hex11cf779e41448

313324204201032 has 128 divisors (see below), whose sum is σ = 843732052416000. Its totient is φ = 96641230533120.

The previous prime is 313324204200983. The next prime is 313324204201049. The reversal of 313324204201032 is 230102402423313.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 989241732 + ... + 989558412.

It is an arithmetic number, because the mean of its divisors is an integer number (6591656659500).

Almost surely, 2313324204201032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313324204201032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421866026208000).

313324204201032 is an abundant number, since it is smaller than the sum of its proper divisors (530407848214968).

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

313324204201032 is a wasteful number, since it uses less digits than its factorization.

313324204201032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367211 (or 367207 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 313324204201032 its reverse (230102402423313), we get a palindrome (543426606624345).

The spelling of 313324204201032 in words is "three hundred thirteen trillion, three hundred twenty-four billion, two hundred four million, two hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 43 57 76 86 114 129 152 172 228 258 344 456 516 817 1032 1634 2451 3268 4902 6536 9804 19608 50459 100918 151377 201836 302754 316681 403672 605508 633362 950043 958721 1211016 1266724 1900086 1917442 2169737 2533448 2876163 3800172 3834884 4339474 5752326 6016939 6509211 7600344 7669768 8678948 11504652 12033878 13018422 13617283 17357896 18050817 23009304 24067756 26036844 27234566 36101634 40851849 41225003 48135512 52073688 54469132 72203268 81703698 82450006 108938264 123675009 144406536 163407396 164900012 247350018 258728377 326814792 329800024 494700036 517456754 776185131 989400072 1034913508 1552370262 2069827016 3104740524 6209481048 15979406579 31958813158 47938219737 63917626316 95876439474 127835252632 191752878948 303608725001 383505757896 607217450002 687114482897 910826175003 1214434900004 1374228965794 1821652350006 2061343448691 2428869800008 2748457931588 3643304700012 4122686897382 5496915863176 7286609400024 8245373794764 13055175175043 16490747589528 26110350350086 39165525525129 52220700700172 78331051050258 104441401400344 156662102100516 313324204201032