Search a number
-
+
330131121231032 = 231123994547343913
BaseRepresentation
bin100101100010000001010010…
…0001101011101010010111000
31121021220020010110101000210022
41023010002210031131102320
5321232332014013343112
63130044050550310012
7126352120640223632
oct11304024415352270
91537806113330708
10330131121231032
119620a905486120
1231039758658308
1311229300ac10b4
145b74608155a52
152827704b27d72
hex12c40a435d4b8

330131121231032 has 64 divisors (see below), whose sum is σ = 675700216704000. Its totient is φ = 149963625475840.

The previous prime is 330131121231031. The next prime is 330131121231049. The reversal of 330131121231032 is 230132121131033.

It is a junction number, because it is equal to n+sod(n) for n = 330131121230992 and 330131121231010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330131121231031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 959754308 + ... + 960098220.

It is an arithmetic number, because the mean of its divisors is an integer number (10557815886000).

Almost surely, 2330131121231032 is an apocalyptic number.

It is an amenable number.

330131121231032 is an abundant number, since it is smaller than the sum of its proper divisors (345569095472968).

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

330131121231032 is a wasteful number, since it uses less digits than its factorization.

330131121231032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350876 (or 350872 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 330131121231032 its reverse (230132121131033), we get a palindrome (560263242362065).

Subtracting from 330131121231032 its reverse (230132121131033), we obtain a palindrome (99999000099999).

The spelling of 330131121231032 in words is "three hundred thirty trillion, one hundred thirty-one billion, one hundred twenty-one million, two hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 2399 4547 4798 9094 9596 18188 19192 26389 36376 50017 52778 100034 105556 200068 211112 343913 400136 687826 1375652 2751304 3783043 7566086 10908253 15132172 21816506 30264344 43633012 87266024 119990783 239981566 479963132 825047287 959926264 1563772411 1650094574 3127544822 3300189148 6255089644 6600378296 9075520157 12510179288 17201496521 18151040314 34402993042 36302080628 68805986084 72604161256 137611972168 3751490013989 7502980027978 15005960055956 30011920111912 41266390153879 82532780307758 165065560615516 330131121231032