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10020233310 = 2357333713577
BaseRepresentation
bin10010101010100000…
…01010000001011110
3221212022211121000020
421111100022001132
5131010134431220
64334144213010
7503211402123
oct112520120136
927768747006
1010020233310
11428218465a
121b3790a166
13c38c52b49
146b0b0c74a
153d9a58040
hex25540a05e

10020233310 has 64 divisors (see below), whose sum is σ = 24452131392. Its totient is φ = 2627444736.

The previous prime is 10020233297. The next prime is 10020233359. The reversal of 10020233310 is 1333202001.

It is a super-2 number, since 2×100202333102 (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 10020233310.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 731242 + ... + 744818.

It is an arithmetic number, because the mean of its divisors is an integer number (382064553).

Almost surely, 210020233310 is an apocalyptic number.

10020233310 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 10020233310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12226065696).

10020233310 is an abundant number, since it is smaller than the sum of its proper divisors (14431898082).

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

10020233310 is a wasteful number, since it uses less digits than its factorization.

10020233310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13997.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10020233310 its reverse (1333202001), we get a palindrome (11353435311).

The spelling of 10020233310 in words is "ten billion, twenty million, two hundred thirty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 337 365 438 674 730 1011 1095 1685 2022 2190 3370 5055 10110 13577 24601 27154 40731 49202 67885 73803 81462 123005 135770 147606 203655 246010 369015 407310 738030 991121 1982242 2973363 4575449 4955605 5946726 9150898 9911210 13726347 14866815 22877245 27452694 29733630 45754490 68631735 137263470 334007777 668015554 1002023331 1670038885 2004046662 3340077770 5010116655 10020233310