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1310421211424 = 251317185297117
BaseRepresentation
bin10011000100011011001…
…100001101100100100000
311122021102111200211210122
4103010123030031210200
5132432220312231144
62441555454215412
7163450313341103
oct23043314154440
94567374624718
101310421211424
1146582367a616
12191b754b4568
1396759141b30
14475d363473a
1524148c867ee
hex1311b30d920

1310421211424 has 48 divisors (see below), whose sum is σ = 2941777045368. Its totient is φ = 569232740352.

The previous prime is 1310421211423. The next prime is 1310421211433. The reversal of 1310421211424 is 4241121240131.

It can be written as a sum of positive squares in 4 ways, for example, as 1017233616400 + 293187595024 = 1008580^2 + 541468^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 1310421211393 and 1310421211402.

It is not an unprimeable number, because it can be changed into a prime (1310421211423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92641487 + ... + 92655630.

Almost surely, 21310421211424 is an apocalyptic number.

It is an amenable number.

1310421211424 is an abundant number, since it is smaller than the sum of its proper divisors (1631355833944).

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

1310421211424 is a wasteful number, since it uses less digits than its factorization.

1310421211424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185297157 (or 185297149 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 1310421211424 its reverse (4241121240131), we get a palindrome (5551542451555).

The spelling of 1310421211424 in words is "one trillion, three hundred ten billion, four hundred twenty-one million, two hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 3536 7072 185297117 370594234 741188468 1482376936 2408862521 2964753872 3150050989 4817725042 5929507744 6300101978 9635450084 12600203956 19270900168 25200407912 38541800336 40950662857 50400815824 77083600672 81901325714 100801631648 163802651428 327605302856 655210605712 1310421211424