Search a number
-
+
10023351310 = 2572151135469
BaseRepresentation
bin10010101010111000…
…00011010000001110
3221212112201000002201
421111130003100032
5131011434220220
64334335112114
7503250036400
oct112534032016
927775630081
1010023351310
114283a14215
121b3897263a
13c397a510b
146b12c0b70
153d9e71d0a
hex25570340e

10023351310 has 48 divisors (see below), whose sum is σ = 21126817440. Its totient is φ = 3413793600.

The previous prime is 10023351307. The next prime is 10023351311. The reversal of 10023351310 is 1315332001.

It is a super-2 number, since 2×100233513102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023351311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6256 + ... + 141724.

It is an arithmetic number, because the mean of its divisors is an integer number (440142030).

Almost surely, 210023351310 is an apocalyptic number.

10023351310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10023351310 is an abundant number, since it is smaller than the sum of its proper divisors (11103466130).

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

10023351310 is a wasteful number, since it uses less digits than its factorization.

10023351310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135641 (or 135634 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

Adding to 10023351310 its reverse (1315332001), we get a palindrome (11338683311).

The spelling of 10023351310 in words is "ten billion, twenty-three million, three hundred fifty-one thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 151 245 302 490 755 1057 1510 2114 5285 7399 10570 14798 36995 73990 135469 270938 677345 948283 1354690 1896566 4741415 6637981 9482830 13275962 20455819 33189905 40911638 66379810 102279095 143190733 204558190 286381466 715953665 1002335131 1431907330 2004670262 5011675655 10023351310