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10223010300 = 2235256360527
BaseRepresentation
bin10011000010101011…
…01100000111111100
3222101110101201202010
421201111230013330
5131414042312200
64410230331220
7511223103516
oct114125540774
928343351663
1010223010300
114376693a48
121b937b9b10
13c6bc70129
146cda14bb6
153ec760150
hex26156c1fc

10223010300 has 72 divisors (see below), whose sum is σ = 29631603456. Its totient is φ = 2721248960.

The previous prime is 10223010293. The next prime is 10223010319. The reversal of 10223010300 is 301032201.

It is a happy number.

10223010300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 138637 + ... + 199163.

It is an arithmetic number, because the mean of its divisors is an integer number (411550048).

Almost surely, 210223010300 is an apocalyptic number.

10223010300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10223010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14815801728).

10223010300 is an abundant number, since it is smaller than the sum of its proper divisors (19408593156).

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

10223010300 is a wasteful number, since it uses less digits than its factorization.

10223010300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61107 (or 61100 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10223010300 its reverse (301032201), we get a palindrome (10524042501).

The spelling of 10223010300 in words is "ten billion, two hundred twenty-three million, ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 563 1126 1689 2252 2815 3378 5630 6756 8445 11260 14075 16890 28150 33780 42225 56300 60527 84450 121054 168900 181581 242108 302635 363162 605270 726324 907905 1210540 1513175 1815810 3026350 3631620 4539525 6052700 9079050 18158100 34076701 68153402 102230103 136306804 170383505 204460206 340767010 408920412 511150515 681534020 851917525 1022301030 1703835050 2044602060 2555752575 3407670100 5111505150 10223010300