Search a number
-
+
331131120313230 = 232523379422075791
BaseRepresentation
bin100101101001010010111100…
…0110011001110001110001110
31121102102211022010001211021200
41023102211320303032032032
5321400223013300010410
63132131311525210330
7126514301564201106
oct11322457063161616
91542384263054250
10331131120313230
1196565a129344a6
123117b51a2609a6
131129c6b8b27c53
145baab90400206
15284373125c3c0
hex12d2978cce38e

331131120313230 has 96 divisors (see below), whose sum is σ = 900743506191360. Its totient is φ = 84239574471360.

The previous prime is 331131120313223. The next prime is 331131120313261. The reversal of 331131120313230 is 32313021131133.

331131120313230 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 3 + 112 + 0 + 313 + 230 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 331131120313194 and 331131120313203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210253366 + ... + 211822425.

It is an arithmetic number, because the mean of its divisors is an integer number (9382744856160).

Almost surely, 2331131120313230 is an apocalyptic number.

331131120313230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

331131120313230 is an abundant number, since it is smaller than the sum of its proper divisors (569612385878130).

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

331131120313230 is a wasteful number, since it uses less digits than its factorization.

331131120313230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422076206 (or 422076203 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 331131120313230 its reverse (32313021131133), we get a palindrome (363444141444363).

The spelling of 331131120313230 in words is "three hundred thirty-one trillion, one hundred thirty-one billion, one hundred twenty million, three hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 379 414 690 758 1035 1137 1895 2070 2274 3411 3790 5685 6822 8717 11370 17055 17434 26151 34110 43585 52302 78453 87170 130755 156906 261510 392265 784530 422075791 844151582 1266227373 2110378955 2532454746 3798682119 4220757910 6331136865 7597364238 9707743193 12662273730 18993410595 19415486386 29123229579 37986821190 48538715965 58246459158 87369688737 97077431930 145616147895 159966724789 174739377474 291232295790 319933449578 436848443685 479900174367 799833623945 873696887370 959800348734 1439700523101 1599667247890 2399500871835 2879401046202 3679234670147 4799001743670 7198502615505 7358469340294 11037704010441 14397005231010 18396173350735 22075408020882 33113112031323 36792346701470 55188520052205 66226224062646 110377040104410 165565560156615 331131120313230