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12322400211 = 3311312116343
BaseRepresentation
bin10110111100111100…
…01110011111010011
31011210202202210022000
423132132032133103
5200214013301321
65354423445043
7614234450022
oct133636163723
934722683260
1012322400211
115253745730
12247a8b6783
131214ba6394
1484c7828b9
154c1c06826
hex2de78e7d3

12322400211 has 64 divisors (see below), whose sum is σ = 20658094080. Its totient is φ = 7191828000.

The previous prime is 12322400203. The next prime is 12322400267. The reversal of 12322400211 is 11200422321.

It is a happy number.

It is not a de Polignac number, because 12322400211 - 23 = 12322400203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12322400291) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1939506 + ... + 1945848.

It is an arithmetic number, because the mean of its divisors is an integer number (322782720).

Almost surely, 212322400211 is an apocalyptic number.

12322400211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12322400211 is a deficient number, since it is larger than the sum of its proper divisors (8335693869).

12322400211 is a wasteful number, since it uses less digits than its factorization.

12322400211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6605 (or 6599 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12322400211 its reverse (11200422321), we get a palindrome (23522822532).

The spelling of 12322400211 in words is "twelve billion, three hundred twenty-two million, four hundred thousand, two hundred eleven".

Divisors: 1 3 9 11 27 31 33 93 99 211 279 297 341 633 837 1023 1899 2321 3069 5697 6343 6541 6963 9207 19029 19623 20889 57087 58869 62667 69773 71951 171261 176607 196633 209319 215853 589899 627957 647559 1338373 1769697 1883871 1942677 2162963 4015119 5309091 6488889 12045357 14722103 19466667 36136071 41489563 44166309 58400001 124468689 132498927 373406067 397496781 456385193 1120218201 1369155579 4107466737 12322400211