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1313024430 = 235471039041
BaseRepresentation
bin100111001000011…
…0010100110101110
310101111200112220110
41032100302212232
510142113240210
6334142400450
744352344364
oct11620624656
93344615813
101313024430
11614193763
12307890126
1317c048343
14c6551634
157a414420
hex4e4329ae

1313024430 has 64 divisors (see below), whose sum is σ = 3249911808. Its totient is φ = 339325440.

The previous prime is 1313024429. The next prime is 1313024473. The reversal of 1313024430 is 344203131.

It is a junction number, because it is equal to n+sod(n) for n = 1313024397 and 1313024406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140710 + ... + 149750.

It is an arithmetic number, because the mean of its divisors is an integer number (50779872).

Almost surely, 21313024430 is an apocalyptic number.

1313024430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313024430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624955904).

1313024430 is an abundant number, since it is smaller than the sum of its proper divisors (1936887378).

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

1313024430 is a wasteful number, since it uses less digits than its factorization.

1313024430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9201.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1313024430 is about 36235.6789642474. The cubic root of 1313024430 is about 1095.0255910284.

Adding to 1313024430 its reverse (344203131), we get a palindrome (1657227561).

The spelling of 1313024430 in words is "one billion, three hundred thirteen million, twenty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 103 141 206 235 282 309 470 515 618 705 1030 1410 1545 3090 4841 9041 9682 14523 18082 24205 27123 29046 45205 48410 54246 72615 90410 135615 145230 271230 424927 849854 931223 1274781 1862446 2124635 2549562 2793669 4249270 4656115 5587338 6373905 9312230 12747810 13968345 27936690 43767481 87534962 131302443 218837405 262604886 437674810 656512215 1313024430