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1311234453102 = 237231320636907
BaseRepresentation
bin10011000101001011101…
…010011110111001101110
311122100112011221210122210
4103011023222132321232
5132440402004444402
62442212304551250
7163506416645100
oct23051352367156
94570464853583
101311234453102
11466100735082
12192161922526
139685877cc22
144766d649570
152419537706c
hex1314ba9ee6e

1311234453102 has 96 divisors (see below), whose sum is σ = 3062300262912. Its totient is φ = 373206427776.

The previous prime is 1311234453101. The next prime is 1311234453127. The reversal of 1311234453102 is 2013544321131.

It is a self number, because there is not a number n which added to its sum of digits gives 1311234453102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311234453101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189837933 + ... + 189844839.

It is an arithmetic number, because the mean of its divisors is an integer number (31898961072).

Almost surely, 21311234453102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311234453102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531150131456).

1311234453102 is an abundant number, since it is smaller than the sum of its proper divisors (1751065809810).

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

1311234453102 is a wasteful number, since it uses less digits than its factorization.

1311234453102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9302 (or 9295 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 1311234453102 its reverse (2013544321131), we get a palindrome (3324778774233).

The spelling of 1311234453102 in words is "one trillion, three hundred eleven billion, two hundred thirty-four million, four hundred fifty-three thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 313 626 939 1878 2063 2191 4126 4382 6189 6573 6907 12378 13146 13814 14441 15337 20721 28882 30674 41442 43323 46011 48349 86646 92022 96698 101087 145047 202174 290094 303261 338443 606522 645719 676886 1015329 1291438 1937157 2030658 2161891 3874314 4323782 4520033 6485673 9040066 12971346 13560099 14249141 15133237 27120198 28498282 30266474 31640231 42747423 45399711 63280462 85494846 90799422 94920693 99743987 105932659 189841386 199487974 211865318 299231961 317797977 598463922 635595954 698207909 1396415818 2094623727 4189247454 4459981133 8919962266 13379943399 26759886798 31219867931 62439735862 93659603793 187319207586 218539075517 437078151034 655617226551 1311234453102