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12230300100 = 2235274354869
BaseRepresentation
bin10110110001111101…
…11001000111000100
31011120100110121200210
423120332321013010
5200021424100400
65341333435420
7612035556414
oct133076710704
934510417623
1012230300100
11520675a537
122453a9bb70
1311cba9a585
1484044a644
154b8ab2950
hex2d8fb91c4

12230300100 has 72 divisors (see below), whose sum is σ = 35434607040. Its totient is φ = 3256964480.

The previous prime is 12230300083. The next prime is 12230300101. The reversal of 12230300100 is 100303221.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (12230300101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195466 + ... + 250334.

It is an arithmetic number, because the mean of its divisors is an integer number (492147320).

Almost surely, 212230300100 is an apocalyptic number.

12230300100 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 12230300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17717303520).

12230300100 is an abundant number, since it is smaller than the sum of its proper divisors (23204306940).

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

12230300100 is a wasteful number, since it uses less digits than its factorization.

12230300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55629 (or 55622 counting only the distinct ones).

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

Adding to 12230300100 its reverse (100303221), we get a palindrome (12330603321).

The spelling of 12230300100 in words is "twelve billion, two hundred thirty million, three hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 743 1486 2229 2972 3715 4458 7430 8916 11145 14860 18575 22290 37150 44580 54869 55725 74300 109738 111450 164607 219476 222900 274345 329214 548690 658428 823035 1097380 1371725 1646070 2743450 3292140 4115175 5486900 8230350 16460700 40767667 81535334 122303001 163070668 203838335 244606002 407676670 489212004 611515005 815353340 1019191675 1223030010 2038383350 2446060020 3057575025 4076766700 6115150050 12230300100