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12210101199 = 3217835091889
BaseRepresentation
bin10110101111100011…
…10101101111001111
31011111221110102000100
423113301311233033
5200001241214244
65335332502143
7611402101452
oct132761655717
934457412010
1012210101199
1151a631382a
12244917a953
1311c784776a
1483b8ad499
154b6e22b69
hex2d7c75bcf

12210101199 has 48 divisors (see below), whose sum is σ = 18946418400. Its totient is φ = 7550066688.

The previous prime is 12210101143. The next prime is 12210101201. The reversal of 12210101199 is 99110101221.

It is not a de Polignac number, because 12210101199 - 212 = 12210097103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210106199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6462847 + ... + 6464735.

It is an arithmetic number, because the mean of its divisors is an integer number (394717050).

Almost surely, 212210101199 is an apocalyptic number.

12210101199 is a deficient number, since it is larger than the sum of its proper divisors (6736317201).

12210101199 is a wasteful number, since it uses less digits than its factorization.

12210101199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 27.

The spelling of 12210101199 in words is "twelve billion, two hundred ten million, one hundred one thousand, one hundred ninety-nine".

Divisors: 1 3 9 17 51 83 153 249 509 747 1411 1527 1889 4233 4581 5667 8653 12699 17001 25959 32113 42247 77877 96339 126741 156787 289017 380223 470361 718199 961501 1411083 2154597 2665379 2884503 6463791 7996137 8653509 16345517 23988411 49036551 79804583 147109653 239413749 718241247 1356677911 4070033733 12210101199