Search a number
-
+
10312112310 = 2352691277833
BaseRepresentation
bin10011001101010011…
…00101100010110110
3222121200001120201120
421212221211202312
5132104400043220
64423132204410
7513354336243
oct114651454266
928550046646
1010312112310
114411a11675
121bb9609706
13c84569406
146db7aa5ca
154054b0a40
hex266a658b6

10312112310 has 32 divisors (see below), whose sum is σ = 24841092960. Its totient is φ = 2739671808.

The previous prime is 10312112309. The next prime is 10312112323. The reversal of 10312112310 is 1321121301.

It is a happy number.

10312112310 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 2×103121123102 (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 10312112310.

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 15 ways as a sum of consecutive naturals, for example, 630847 + ... + 646986.

It is an arithmetic number, because the mean of its divisors is an integer number (776284155).

Almost surely, 210312112310 is an apocalyptic number.

10312112310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10312112310 is an abundant number, since it is smaller than the sum of its proper divisors (14528980650).

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

10312112310 is a wasteful number, since it uses less digits than its factorization.

10312112310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278112.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10312112310 its reverse (1321121301), we get a palindrome (11633233611).

The spelling of 10312112310 in words is "ten billion, three hundred twelve million, one hundred twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 269 538 807 1345 1614 2690 4035 8070 1277833 2555666 3833499 6389165 7666998 12778330 19167495 38334990 343737077 687474154 1031211231 1718685385 2062422462 3437370770 5156056155 10312112310