Search a number
-
+
231331033104 = 2432910710914249
BaseRepresentation
bin1101011101110001100…
…1110111000000010000
3211010002212011002000220
43113130121313000100
512242231221024404
6254134430513040
722466412223563
oct3273431670020
9733085132026
10231331033104
118a11a379096
1238a00365780
1318a78396512
14b2a72084da
15603dd6d4d9
hex35dc677010

231331033104 has 160 divisors (see below), whose sum is σ = 629758800000. Its totient is φ = 73073774592.

The previous prime is 231331033061. The next prime is 231331033117. The reversal of 231331033104 is 401330133132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 16227772 + ... + 16242020.

It is an arithmetic number, because the mean of its divisors is an integer number (3935992500).

Almost surely, 2231331033104 is an apocalyptic number.

231331033104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231331033104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314879400000).

231331033104 is an abundant number, since it is smaller than the sum of its proper divisors (398427766896).

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

231331033104 is a wasteful number, since it uses less digits than its factorization.

231331033104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14505 (or 14499 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 231331033104 its reverse (401330133132), we get a palindrome (632661166236).

The spelling of 231331033104 in words is "two hundred thirty-one billion, three hundred thirty-one million, thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 107 109 116 174 214 218 232 321 327 348 428 436 464 642 654 696 856 872 1284 1308 1392 1712 1744 2568 2616 3103 3161 5136 5232 6206 6322 9309 9483 11663 12412 12644 14249 18618 18966 23326 24824 25288 28498 34989 37236 37932 42747 46652 49648 50576 56996 69978 74472 75864 85494 93304 113992 139956 148944 151728 170988 186608 227984 279912 338227 341976 413221 559824 676454 683952 826442 1014681 1239663 1352908 1524643 1553141 1652884 2029362 2479326 2705816 3049286 3106282 3305768 4058724 4573929 4659423 4958652 5411632 6098572 6212564 6611536 8117448 9147858 9318846 9917304 12197144 12425128 16234896 18295716 18637692 19834608 24394288 24850256 36591432 37275384 44214647 45041089 73182864 74550768 88429294 90082178 132643941 135123267 166186087 176858588 180164356 265287882 270246534 332372174 353717176 360328712 498558261 530575764 540493068 664744348 707434352 720657424 997116522 1061151528 1080986136 1329488696 1994233044 2122303056 2161972272 2658977392 3988466088 4819396523 7976932176 9638793046 14458189569 19277586092 28916379138 38555172184 57832758276 77110344368 115665516552 231331033104