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3102232322013 = 311253909117737
BaseRepresentation
bin101101001001001011011…
…101001001111111011101
3101222120101220102022210220
4231021023131021333131
5401311332433301023
610333051300551553
7440062131441036
oct55111335117735
911876356368726
103102232322013
11a967162a8400
124212973b25b9
13196701979b36
14aa212609a8d
1555a699323e3
hex2d24b749fdd

3102232322013 has 48 divisors (see below), whose sum is σ = 4633076484288. Its totient is φ = 1844359545600.

The previous prime is 3102232322009. The next prime is 3102232322051.

3102232322013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3102232322013 - 22 = 3102232322009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3102232323013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174892881 + ... + 174910617.

It is an arithmetic number, because the mean of its divisors is an integer number (96522426756).

Almost surely, 23102232322013 is an apocalyptic number.

3102232322013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3102232322013 is a deficient number, since it is larger than the sum of its proper divisors (1530844162275).

3102232322013 is a wasteful number, since it uses less digits than its factorization.

3102232322013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26906 (or 26895 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The spelling of 3102232322013 in words is "three trillion, one hundred two billion, two hundred thirty-two million, three hundred twenty-two thousand, thirteen".

Divisors: 1 3 11 33 53 121 159 363 583 1749 6413 9091 17737 19239 27273 53211 100001 195107 300003 481823 585321 940061 1100011 1445469 2146177 2820183 3300033 5300053 6438531 10340671 15900159 31022013 58300583 113747381 161247067 174901749 341242143 483741201 1773717737 5321153211 8546094551 19510895107 25638283653 58532685321 94007040061 282021120183 1034077440671 3102232322013