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10113332310 = 23251314571877
BaseRepresentation
bin10010110101100110…
…10011010001010110
3222002211000111211100
421122303103101112
5131203003113220
64351311450530
7505421622564
oct113263232126
928084014740
1010113332310
11431a792284
121b62b26a46
13c5231b503
146bd224a34
153e2ce7d90
hex25acd3456

10113332310 has 96 divisors (see below), whose sum is σ = 26567510112. Its totient is φ = 2669022720.

The previous prime is 10113332287. The next prime is 10113332321. The reversal of 10113332310 is 1323331101.

It is a happy number.

10113332310 is a `hidden beast` number, since 10 + 1 + 13 + 332 + 310 = 666.

10113332310 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 2×101133323102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 5387092 + ... + 5388968.

It is an arithmetic number, because the mean of its divisors is an integer number (276744897).

Almost surely, 210113332310 is an apocalyptic number.

10113332310 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 10113332310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13283755056).

10113332310 is an abundant number, since it is smaller than the sum of its proper divisors (16454177802).

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

10113332310 is a wasteful number, since it uses less digits than its factorization.

10113332310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10113332310 its reverse (1323331101), we get a palindrome (11436663411).

The spelling of 10113332310 in words is "ten billion, one hundred thirteen million, three hundred thirty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 131 262 393 457 655 786 914 1179 1310 1371 1877 1965 2285 2358 2742 3754 3930 4113 4570 5631 5895 6855 8226 9385 11262 11790 13710 16893 18770 20565 28155 33786 41130 56310 59867 84465 119734 168930 179601 245887 299335 359202 491774 538803 598670 737661 857789 898005 1077606 1229435 1475322 1715578 1796010 2212983 2458870 2573367 2694015 3688305 4288945 4425966 5146734 5388030 7376610 7720101 8577890 11064915 12866835 15440202 22129830 25733670 38600505 77201010 112370359 224740718 337111077 561851795 674222154 1011333231 1123703590 1685555385 2022666462 3371110770 5056666155 10113332310