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3121410141213 = 3713371971568629
BaseRepresentation
bin101101011011000010100…
…010101110110000011101
3102001101220102212111000220
4231123002202232300131
5402120121444004323
610345542300111553
7441341311300260
oct55330242566035
912041812774026
103121410141213
11aa3867716861
12424b49b355b9
13198469c06950
14ab111630cd7
15562dd3e40e3
hex2d6c28aec1d

3121410141213 has 64 divisors (see below), whose sum is σ = 5287462709760. Its totient is φ = 1593826440192.

The previous prime is 3121410141197. The next prime is 3121410141257.

3121410141213 is nontrivially palindromic in base 10.

3121410141213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3121410141213 - 24 = 3121410141197 is a prime.

It is a super-2 number, since 2×31214101412132 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121410141293) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1205583 + ... + 2774211.

It is an arithmetic number, because the mean of its divisors is an integer number (82616604840).

Almost surely, 23121410141213 is an apocalyptic number.

It is an amenable number.

3121410141213 is a deficient number, since it is larger than the sum of its proper divisors (2166052568547).

3121410141213 is a wasteful number, since it uses less digits than its factorization.

3121410141213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568886.

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 3121410 and 141213, that added together give a palindrome (3262623).

The spelling of 3121410141213 in words is "three trillion, one hundred twenty-one billion, four hundred ten million, one hundred forty-one thousand, two hundred thirteen".

Divisors: 1 3 7 13 21 37 39 91 111 197 259 273 481 591 777 1379 1443 2561 3367 4137 7289 7683 10101 17927 21867 51023 53781 94757 153069 284271 663299 1568629 1989897 4705887 10980403 20392177 32941209 58039273 61176531 142745239 174117819 309019913 406274911 428235717 754510549 927059739 1218824733 2163139391 2263531647 4017258869 5281573843 6489418173 11433736781 12051776607 15844721529 28120812083 34301210343 80036157467 84362436249 148638578153 240108472401 445915734459 1040470047071 3121410141213