Search a number
-
+
10303331313 = 3111915992729
BaseRepresentation
bin10011001100010000…
…00101101111110001
3222121001112110110110
421212020011233301
5132100123100223
64422220051533
7513216604542
oct114610055761
928531473413
1010303331313
114407a64350
121bb6693ba9
13c827b3662
146da5624c9
15404828d93
hex266205bf1

10303331313 has 32 divisors (see below), whose sum is σ = 15095808000. Its totient is φ = 6199107200.

The previous prime is 10303331303. The next prime is 10303331333. The reversal of 10303331313 is 31313330301.

It is not a de Polignac number, because 10303331313 - 212 = 10303327217 is a prime.

It is a super-2 number, since 2×103033313132 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10303331313.

It is not an unprimeable number, because it can be changed into a prime (10303331303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3774133 + ... + 3776861.

It is an arithmetic number, because the mean of its divisors is an integer number (471744000).

Almost surely, 210303331313 is an apocalyptic number.

It is an amenable number.

10303331313 is a deficient number, since it is larger than the sum of its proper divisors (4792476687).

10303331313 is a wasteful number, since it uses less digits than its factorization.

10303331313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3533.

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 10303331313 its reverse (31313330301), we get a palindrome (41616661614).

The spelling of 10303331313 in words is "ten billion, three hundred three million, three hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 11 33 191 573 599 1797 2101 2729 6303 6589 8187 19767 30019 90057 114409 343227 521239 1258499 1563717 1634671 3775497 4904013 5733629 17200887 17981381 53944143 312222161 936666483 3434443771 10303331313