Search a number
-
+
13313001310 = 257598533779
BaseRepresentation
bin11000110011000010…
…00100011101011110
31021100210202112112121
430121201010131132
5204231112020220
610041011453154
7650623433620
oct143141043536
937323675477
1013313001310
115711929a24
1226b65b71ba
1313421a248b
14904164c10
1552db7ceaa
hex31984475e

13313001310 has 64 divisors (see below), whose sum is σ = 27890956800. Its totient is φ = 4480647552.

The previous prime is 13313001287. The next prime is 13313001329. The reversal of 13313001310 is 1310031331.

It is a super-2 number, since 2×133130013102 (a number of 21 digits) contains 22 as substring.

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, 3521001 + ... + 3524779.

It is an arithmetic number, because the mean of its divisors is an integer number (435796200).

Almost surely, 213313001310 is an apocalyptic number.

13313001310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13313001310 is an abundant number, since it is smaller than the sum of its proper divisors (14577955490).

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

13313001310 is a wasteful number, since it uses less digits than its factorization.

13313001310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4705.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 13313001310 its reverse (1310031331), we get a palindrome (14623032641).

The spelling of 13313001310 in words is "thirteen billion, three hundred thirteen million, one thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 35 59 70 118 295 413 590 826 853 1706 2065 3779 4130 4265 5971 7558 8530 11942 18895 26453 29855 37790 50327 52906 59710 100654 132265 222961 251635 264530 352289 445922 503270 704578 1114805 1560727 1761445 2229610 3121454 3223487 3522890 6446974 7803635 15607270 16117435 22564409 32234870 45128818 112822045 190185733 225644090 380371466 950928665 1331300131 1901857330 2662600262 6656500655 13313001310