Search a number
-
+
10234331313 = 3173710153699
BaseRepresentation
bin10011000100000001…
…11000000010110001
3222102020200220020220
421202000320002301
5131424442100223
64411313123253
7511421244423
oct114200700261
928366626226
1010234331313
114382016658
121b97559529
13c7140505b
146d1320813
153ed7496e3
hex2620380b1

10234331313 has 32 divisors (see below), whose sum is σ = 14986166400. Its totient is φ = 6186009600.

The previous prime is 10234331297. The next prime is 10234331329. The reversal of 10234331313 is 31313343201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10234331297) and next prime (10234331329).

It is not a de Polignac number, because 10234331313 - 24 = 10234331297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10234331353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163738 + ... + 217436.

It is an arithmetic number, because the mean of its divisors is an integer number (468317700).

Almost surely, 210234331313 is an apocalyptic number.

It is an amenable number.

10234331313 is a deficient number, since it is larger than the sum of its proper divisors (4751835087).

10234331313 is a wasteful number, since it uses less digits than its factorization.

10234331313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53857.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 10234331313 its reverse (31313343201), we get a palindrome (41547674514).

The spelling of 10234331313 in words is "ten billion, two hundred thirty-four million, three hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 17 37 51 101 111 303 629 1717 1887 3737 5151 11211 53699 63529 161097 190587 912883 1986863 2738649 5423599 5960589 16270797 33776671 92201183 101330013 200673163 276603549 602019489 3411443771 10234331313