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12320002233 = 3472112312269
BaseRepresentation
bin10110111100101010…
…00101000010111001
31011210121020221220000
423132111011002321
5200212410032413
65354300223213
7614205201600
oct133625050271
934717227800
1012320002233
115252358030
122479b3ab09
131214546a66
1484c31aa37
154c18d1073
hex2de5450b9

12320002233 has 120 divisors (see below), whose sum is σ = 24372342720. Its totient is φ = 6121241280.

The previous prime is 12320002231. The next prime is 12320002259. The reversal of 12320002233 is 33220002321.

It is a happy number.

12320002233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12320002233 - 21 = 12320002231 is a prime.

It is a super-2 number, since 2×123200022332 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12320002231) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 998023 + ... + 1010291.

It is an arithmetic number, because the mean of its divisors is an integer number (203102856).

Almost surely, 212320002233 is an apocalyptic number.

It is an amenable number.

12320002233 is a deficient number, since it is larger than the sum of its proper divisors (12052340487).

12320002233 is a wasteful number, since it uses less digits than its factorization.

12320002233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12329 (or 12313 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12320002233 its reverse (33220002321), we get a palindrome (45540004554).

The spelling of 12320002233 in words is "twelve billion, three hundred twenty million, two thousand, two hundred thirty-three".

Divisors: 1 3 7 9 11 21 23 27 33 49 63 69 77 81 99 147 161 189 207 231 253 297 441 483 539 567 621 693 759 891 1127 1323 1449 1617 1771 1863 2079 2277 3381 3969 4347 4851 5313 6237 6831 10143 12269 12397 13041 14553 15939 20493 30429 36807 37191 43659 47817 85883 91287 110421 111573 134959 143451 257649 282187 331263 334719 404877 601181 772947 846561 944713 993789 1004157 1214631 1803543 1975309 2318841 2539683 2834139 3104057 3643893 5410629 5925927 6612991 6956523 7619049 8502417 9312171 10931679 13827163 16231887 17777781 19838973 21728399 22857147 25507251 27936513 41481489 48695661 53333343 59516919 65185197 76521753 83809539 124444467 152098793 160000029 178550757 195555591 251428617 373333401 456296379 535652271 586666773 1120000203 1368889137 1760000319 4106667411 12320002233