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1313420631402 = 231126734977369
BaseRepresentation
bin10011000111001101111…
…110000101110101101010
311122120011112122011111110
4103013031332011311222
5133004341140201102
62443213242211150
7163614534106545
oct23071576056552
94576145564443
101313420631402
11467022784200
12192671ab3ab6
1396b16682359
14477d9b2985c
152427226386c
hex131cdf85d6a

1313420631402 has 96 divisors (see below), whose sum is σ = 2938883976000. Its totient is φ = 390937409280.

The previous prime is 1313420631361. The next prime is 1313420631473. The reversal of 1313420631402 is 2041360243131.

It is a self number, because there is not a number n which added to its sum of digits gives 1313420631402.

It is an unprimeable number.

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, 16937374 + ... + 17014742.

It is an arithmetic number, because the mean of its divisors is an integer number (30613374750).

Almost surely, 21313420631402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313420631402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469441988000).

1313420631402 is an abundant number, since it is smaller than the sum of its proper divisors (1625463344598).

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

1313420631402 is a wasteful number, since it uses less digits than its factorization.

1313420631402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77812 (or 77801 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 1313420631402 its reverse (2041360243131), we get a palindrome (3354780874533).

The spelling of 1313420631402 in words is "one trillion, three hundred thirteen billion, four hundred twenty million, six hundred thirty-one thousand, four hundred two".

Divisors: 1 2 3 6 11 22 33 66 67 121 134 201 242 349 363 402 698 726 737 1047 1474 2094 2211 3839 4422 7678 8107 11517 16214 23034 23383 24321 42229 46766 48642 70149 77369 84458 126687 140298 154738 232107 253374 257213 464214 514426 771639 851059 1543278 1702118 2553177 2829343 5106354 5183723 5658686 8488029 9361649 10367446 15551169 16976058 18723298 27001781 28084947 31102338 54003562 56169894 57020953 81005343 114041906 162010686 171062859 297019591 342125718 594039182 627230483 891058773 1254460966 1782117546 1809119327 1881691449 3267215501 3618238654 3763382898 5427357981 6534431002 9801646503 10854715962 19603293006 19900312597 39800625194 59700937791 119401875582 218903438567 437806877134 656710315701 1313420631402