Search a number
-
+
10031231310 = 2351744234447
BaseRepresentation
bin10010101011110100…
…00111000101001110
3221220002112100102120
421111322013011032
5131020443400220
64335220033410
7503404026222
oct112572070516
927802470376
1010031231310
114288406611
121b3b532866
13c3b303a39
146b2372782
153da9cba40
hex255e8714e

10031231310 has 64 divisors (see below), whose sum is σ = 25502625792. Its totient is φ = 2516507136.

The previous prime is 10031231299. The next prime is 10031231383. The reversal of 10031231310 is 1313213001.

10031231310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100312313102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10031231310.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2253507 + ... + 2257953.

It is an arithmetic number, because the mean of its divisors is an integer number (398478528).

Almost surely, 210031231310 is an apocalyptic number.

10031231310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10031231310 is an abundant number, since it is smaller than the sum of its proper divisors (15471394482).

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

10031231310 is a wasteful number, since it uses less digits than its factorization.

10031231310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8897.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10031231310 its reverse (1313213001), we get a palindrome (11344444311).

The spelling of 10031231310 in words is "ten billion, thirty-one million, two hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 4423 4447 8846 8894 13269 13341 22115 22235 26538 26682 44230 44470 66345 66705 75191 75599 132690 133410 150382 151198 225573 226797 375955 377995 451146 453594 751910 755990 1127865 1133985 2255730 2267970 19669081 39338162 59007243 98345405 118014486 196690810 295036215 334374377 590072430 668748754 1003123131 1671871885 2006246262 3343743770 5015615655 10031231310