Search a number
-
+
1313011320 = 233517643633
BaseRepresentation
bin100111001000010…
…1111011001111000
310101111122212220220
41032100233121320
510142112330240
6334142220040
744352261225
oct11620573170
93344585826
101313011320
11614184925
12307884620
1317c04239a
14c654a94c
157a4105d0
hex4e42f678

1313011320 has 64 divisors (see below), whose sum is σ = 4170748320. Its totient is φ = 329539584.

The previous prime is 1313011309. The next prime is 1313011331. The reversal of 1313011320 is 231103131.

1313011320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1313011309) and next prime (1313011331).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1313011320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319777 + ... + 323856.

Almost surely, 21313011320 is an apocalyptic number.

1313011320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313011320 is an abundant number, since it is smaller than the sum of its proper divisors (2857737000).

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

1313011320 is a wasteful number, since it uses less digits than its factorization.

1313011320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643664 (or 643660 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1313011320 is about 36235.4980647431. The cubic root of 1313011320 is about 1095.0219465587.

Adding to 1313011320 its reverse (231103131), we get a palindrome (1544114451).

The spelling of 1313011320 in words is "one billion, three hundred thirteen million, eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 643633 1287266 1930899 2574532 3218165 3861798 5149064 6436330 7723596 9654495 10941761 12872660 15447192 19308990 21883522 25745320 32825283 38617980 43767044 54708805 65650566 77235960 87534088 109417610 131301132 164126415 218835220 262602264 328252830 437670440 656505660 1313011320