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4122300204 = 22321113974891
BaseRepresentation
bin1111010110110101…
…0100111100101100
3101122021211112210100
43311231110330230
531420302101304
61521015111100
7204103654641
oct36555247454
911567745710
104122300204
111825a27180
12970672490
135090725b9
142b16abdc8
15191d82439
hexf5b54f2c

4122300204 has 72 divisors (see below), whose sum is σ = 11449488960. Its totient is φ = 1240178400.

The previous prime is 4122300179. The next prime is 4122300209. The reversal of 4122300204 is 4020032214.

4122300204 is a `hidden beast` number, since 412 + 230 + 0 + 20 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4122300209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17599 + ... + 92489.

It is an arithmetic number, because the mean of its divisors is an integer number (159020680).

Almost surely, 24122300204 is an apocalyptic number.

4122300204 is a gapful number since it is divisible by the number (44) 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 4122300204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5724744480).

4122300204 is an abundant number, since it is smaller than the sum of its proper divisors (7327188756).

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

4122300204 is a wasteful number, since it uses less digits than its factorization.

4122300204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75051 (or 75046 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4122300204 is about 64205.1415698151. The cubic root of 4122300204 is about 1603.4172022389.

Adding to 4122300204 its reverse (4020032214), we get a palindrome (8142332418).

The spelling of 4122300204 in words is "four billion, one hundred twenty-two million, three hundred thousand, two hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 139 198 278 396 417 556 834 1251 1529 1668 2502 3058 4587 5004 6116 9174 13761 18348 27522 55044 74891 149782 224673 299564 449346 674019 823801 898692 1348038 1647602 2471403 2696076 3295204 4942806 7414209 9885612 10409849 14828418 20819698 29656836 31229547 41639396 62459094 93688641 114508339 124918188 187377282 229016678 343525017 374754564 458033356 687050034 1030575051 1374100068 2061150102 4122300204