Search a number
-
+
10313366540 = 22517101300331
BaseRepresentation
bin10011001101011100…
…10111110000001100
3222121202102022012112
421212232113300030
5132110210212130
64423215123152
7513401112011
oct114656276014
928552368175
1010313366540
114412698a24
121bb9b134b8
13c848b8269
146dba15708
1540565c495
hex266b97c0c

10313366540 has 48 divisors (see below), whose sum is σ = 23159201184. Its totient is φ = 3844224000.

The previous prime is 10313366461. The next prime is 10313366551. The reversal of 10313366540 is 4566331301.

10313366540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10313366497 and 10313366506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115826 + ... + 184505.

It is an arithmetic number, because the mean of its divisors is an integer number (482483358).

Almost surely, 210313366540 is an apocalyptic number.

10313366540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10313366540 is an abundant number, since it is smaller than the sum of its proper divisors (12845834644).

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

10313366540 is a wasteful number, since it uses less digits than its factorization.

10313366540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300458 (or 300456 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

Adding to 10313366540 its reverse (4566331301), we get a palindrome (14879697841).

The spelling of 10313366540 in words is "ten billion, three hundred thirteen million, three hundred sixty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 101 170 202 340 404 505 1010 1717 2020 3434 6868 8585 17170 34340 300331 600662 1201324 1501655 3003310 5105627 6006620 10211254 20422508 25528135 30333431 51056270 60666862 102112540 121333724 151667155 303334310 515668327 606668620 1031336654 2062673308 2578341635 5156683270 10313366540