Search a number
-
+
321204410241113 = 72317931716215209
BaseRepresentation
bin100100100001000100011101…
…0110001011101000001011001
31120010021211201121202122221202
41021002020322301131001121
5314100103113010203423
63055051134033443545
7124441152501605600
oct11102107261350131
91503254647678852
10321204410241113
1193389030888013
12300376971105b5
1310a2c5a48b0a79
14594653ac00a37
1527203e568d728
hex124223ac5d059

321204410241113 has 96 divisors (see below), whose sum is σ = 392130401587200. Its totient is φ = 262022279500800.

The previous prime is 321204410241103. The next prime is 321204410241167. The reversal of 321204410241113 is 311142014402123.

It is not a de Polignac number, because 321204410241113 - 24 = 321204410241097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (321204410241103) 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, 61663351253 + ... + 61663356461.

It is an arithmetic number, because the mean of its divisors is an integer number (4084691683200).

Almost surely, 2321204410241113 is an apocalyptic number.

It is an amenable number.

321204410241113 is a deficient number, since it is larger than the sum of its proper divisors (70925991346087).

321204410241113 is a wasteful number, since it uses less digits than its factorization.

321204410241113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7271 (or 7264 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 321204410241113 its reverse (311142014402123), we get a palindrome (632346424643236).

The spelling of 321204410241113 in words is "three hundred twenty-one trillion, two hundred four billion, four hundred ten million, two hundred forty-one thousand, one hundred thirteen".

Divisors: 1 7 31 49 79 217 317 553 1519 1621 2219 2449 3871 5209 9827 11347 15533 17143 25043 36463 50251 68789 79429 120001 128059 161479 175301 255241 351757 411511 481523 513857 776333 896413 1130353 1227107 1651253 2462299 2880577 3596999 3969829 5434331 6274891 7912471 8443789 11558771 12756841 15929567 20164039 25178993 27788803 38040317 40594703 51188843 59106523 80911397 89297887 111506969 130448987 194521621 261757459 284162921 358321901 413745661 625085209 667059331 780548783 913142909 1258435793 1832302213 1989140447 2508253307 2676681113 4043918597 4669415317 6392000363 8809050551 12826115491 18736767791 20678839261 28307430179 32685907219 61663353857 82977114503 131157374537 144751874827 198152011253 211457807927 580839801521 1013263123789 1480204655489 4065878610647 6555192045737 10361432588423 45886344320159 321204410241113