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10300112310 = 23523101147799
BaseRepresentation
bin10011001011110111…
…10011110110110110
3222120211110220211010
421211323303312312
5132043312043220
64422023053050
7513150336645
oct114573636666
928524426733
1010300112310
114406165914
121bb55a1186
13c81c27417
146d9d6535c
154043e01e0
hex265ef3db6

10300112310 has 64 divisors (see below), whose sum is σ = 26050636800. Its totient is φ = 2601244800.

The previous prime is 10300112261. The next prime is 10300112357. The reversal of 10300112310 is 1321100301.

It is a super-2 number, since 2×103001123102 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4210 + ... + 143589.

It is an arithmetic number, because the mean of its divisors is an integer number (407041200).

Almost surely, 210300112310 is an apocalyptic number.

10300112310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10300112310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13025318400).

10300112310 is an abundant number, since it is smaller than the sum of its proper divisors (15750524490).

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

10300112310 is a wasteful number, since it uses less digits than its factorization.

10300112310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147933.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10300112310 its reverse (1321100301), we get a palindrome (11621212611).

The spelling of 10300112310 in words is "ten billion, three hundred million, one hundred twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 101 115 138 202 230 303 345 505 606 690 1010 1515 2323 3030 4646 6969 11615 13938 23230 34845 69690 147799 295598 443397 738995 886794 1477990 2216985 3399377 4433970 6798754 10198131 14927699 16996885 20396262 29855398 33993770 44783097 50990655 74638495 89566194 101981310 149276990 223915485 343337077 447830970 686674154 1030011231 1716685385 2060022462 3433370770 5150056155 10300112310