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1311232414100 = 225279531965571
BaseRepresentation
bin10011000101001011100…
…010101101000110010100
311122100112001010012200012
4103011023202231012110
5132440400444222400
62442212153135352
7163506363423350
oct23051342550624
94570461105605
101311232414100
114660aa572154
121921610ba558
1396858217b0b
144766d278460
15241950c2d35
hex1314b8ad194

1311232414100 has 72 divisors (see below), whose sum is σ = 3255270274368. Its totient is φ = 449093433600.

The previous prime is 1311232414087. The next prime is 1311232414111. The reversal of 1311232414100 is 14142321131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315686 + ... + 1649885.

It is an arithmetic number, because the mean of its divisors is an integer number (45212087144).

Almost surely, 21311232414100 is an apocalyptic number.

1311232414100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311232414100 is an abundant number, since it is smaller than the sum of its proper divisors (1944037860268).

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

1311232414100 is a wasteful number, since it uses less digits than its factorization.

1311232414100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966545 (or 1966538 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 1311232414100 its reverse (14142321131), we get a palindrome (1325374735231).

The spelling of 1311232414100 in words is "one trillion, three hundred eleven billion, two hundred thirty-two million, four hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 953 1906 3812 4765 6671 9530 13342 19060 23825 26684 33355 47650 66710 95300 133420 166775 333550 667100 1965571 3931142 7862284 9827855 13758997 19655710 27517994 39311420 49139275 55035988 68794985 98278550 137589970 196557100 275179940 343974925 687949850 1375899700 1873189163 3746378326 7492756652 9365945815 13112324141 18731891630 26224648282 37463783260 46829729075 52449296564 65561620705 93659458150 131123241410 187318916300 262246482820 327808103525 655616207050 1311232414100