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12220210300 = 22521713275417
BaseRepresentation
bin10110110000110000…
…11001110001111100
31011112122111000002111
423120120121301330
5200011333212200
65340333303404
7611554034164
oct133030316174
934478430074
1012220210300
115200a98961
122450634b64
1311c9976b8c
1483cd815a4
154b7c6d0ba
hex2d8619c7c

12220210300 has 72 divisors (see below), whose sum is σ = 28104076224. Its totient is φ = 4596234240.

The previous prime is 12220210271. The next prime is 12220210361. The reversal of 12220210300 is 301202221.

12220210300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2253192 + ... + 2258608.

It is an arithmetic number, because the mean of its divisors is an integer number (390334392).

Almost surely, 212220210300 is an apocalyptic number.

12220210300 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 12220210300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14052038112).

12220210300 is an abundant number, since it is smaller than the sum of its proper divisors (15883865924).

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

12220210300 is a wasteful number, since it uses less digits than its factorization.

12220210300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6775 (or 6768 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12220210300 its reverse (301202221), we get a palindrome (12521412521).

The spelling of 12220210300 in words is "twelve billion, two hundred twenty million, two hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1327 1700 2654 5308 5417 6635 10834 13270 21668 22559 26540 27085 33175 45118 54170 66350 90236 92089 108340 112795 132700 135425 184178 225590 270850 368356 451180 460445 541700 563975 920890 1127950 1841780 2255900 2302225 4604450 7188359 9208900 14376718 28753436 35941795 71883590 122202103 143767180 179708975 244404206 359417950 488808412 611010515 718835900 1222021030 2444042060 3055052575 6110105150 12220210300