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12243504105 = 335729034463
BaseRepresentation
bin10110110011100010…
…10000101111101001
31011121021022110012000
423121301100233221
5200033314112410
65342524441213
7612256032150
oct133161205751
934537273160
1012243504105
115213158938
1224583a9209
1312017415b1
148420c6597
154b9d1edc0
hex2d9c50be9

12243504105 has 64 divisors (see below), whose sum is σ = 24889835520. Its totient is φ = 5593848768.

The previous prime is 12243504101. The next prime is 12243504127. The reversal of 12243504105 is 50140534221.

12243504105 is a `hidden beast` number, since 1 + 2 + 243 + 5 + 0 + 410 + 5 = 666.

It is not a de Polignac number, because 12243504105 - 22 = 12243504101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12243504101) 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, 2741104 + ... + 2745566.

It is an arithmetic number, because the mean of its divisors is an integer number (388903680).

Almost surely, 212243504105 is an apocalyptic number.

12243504105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12243504105 is an abundant number, since it is smaller than the sum of its proper divisors (12646331415).

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

12243504105 is a wasteful number, since it uses less digits than its factorization.

12243504105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7387 (or 7381 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 12243504105 in words is "twelve billion, two hundred forty-three million, five hundred four thousand, one hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 2903 4463 8709 13389 14515 20321 22315 26127 31241 40167 43545 60963 66945 78381 93723 101605 120501 130635 156205 182889 200835 281169 304815 391905 468615 548667 602505 843507 914445 1405845 2743335 4217535 12956089 38868267 64780445 90692623 116604801 194341335 272077869 349814403 453463115 583024005 816233607 1360389345 1749072015 2448700821 4081168035 12243504105