Search a number
-
+
313222102112232 = 233241106105048141
BaseRepresentation
bin100011100110111111011010…
…0001000011101011111101000
31112002000201222211202102202100
41013031332310020131133220
5312023312331120042412
63030100125223533400
7122655356453164455
oct10715766410353750
91462021884672670
10313222102112232
1190890824a60475
122b1686602ba260
13105a0943434401
14574c0600a082c
15263295ba18edc
hex11cdfb421d7e8

313222102112232 has 48 divisors (see below), whose sum is σ = 869000344282980. Its totient is φ = 101860846214400.

The previous prime is 313222102112189. The next prime is 313222102112243. The reversal of 313222102112232 is 232211201222313.

313222102112232 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 2 + 210 + 211 + 2 + 232 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 239264406894276 + 73957695217956 = 15468174^2 + 8599866^2 .

It is a junction number, because it is equal to n+sod(n) for n = 313222102112196 and 313222102112205.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53052521119 + ... + 53052527022.

Almost surely, 2313222102112232 is an apocalyptic number.

It is an amenable number.

313222102112232 is an abundant number, since it is smaller than the sum of its proper divisors (555778242170748).

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

313222102112232 is a wasteful number, since it uses less digits than its factorization.

313222102112232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106105048194 (or 106105048187 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 313222102112232 its reverse (232211201222313), we get a palindrome (545433303334545).

The spelling of 313222102112232 in words is "three hundred thirteen trillion, two hundred twenty-two billion, one hundred two million, one hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 106105048141 212210096282 318315144423 424420192564 636630288846 848840385128 954945433269 1273260577692 1909890866538 2546521155384 3819781733076 4350306973781 7639563466152 8700613947562 13050920921343 17401227895124 26101841842686 34802455790248 39152762764029 52203683685372 78305525528058 104407367370744 156611051056116 313222102112232