Search a number
-
+
10312301310 = 235827415651
BaseRepresentation
bin10011001101010100…
…10011101011111110
3222121200102011222120
421212222103223332
5132104422120220
64423140223410
7513356054253
oct114652235376
928550364876
1010312301310
114412030673
121bb969ab66
13c8460444c
146db81942a
154054eba40
hex266a93afe

10312301310 has 32 divisors (see below), whose sum is σ = 24779509632. Its totient is φ = 2746615200.

The previous prime is 10312301299. The next prime is 10312301327. The reversal of 10312301310 is 1310321301.

It is a super-2 number, since 2×103123013102 (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 10312301310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183016 + ... + 232635.

It is an arithmetic number, because the mean of its divisors is an integer number (774359676).

Almost surely, 210312301310 is an apocalyptic number.

10312301310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10312301310 is an abundant number, since it is smaller than the sum of its proper divisors (14467208322).

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

10312301310 is a wasteful number, since it uses less digits than its factorization.

10312301310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416488.

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

Adding to 10312301310 its reverse (1310321301), we get a palindrome (11622622611).

It can be divided in two parts, 10312301 and 310, that added together give a triangular number (10312611 = T4541).

The spelling of 10312301310 in words is "ten billion, three hundred twelve million, three hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 827 1654 2481 4135 4962 8270 12405 24810 415651 831302 1246953 2078255 2493906 4156510 6234765 12469530 343743377 687486754 1031230131 1718716885 2062460262 3437433770 5156150655 10312301310