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12201315 = 357294007
BaseRepresentation
bin101110100010…
…110101100011
3211221220001120
4232202311203
511110420230
61113303323
7205465230
oct56426543
924856046
1012201315
116984035
124104b43
1326b2819
141898787
151110310
hexba2d63

12201315 has 32 divisors (see below), whose sum is σ = 23086080. Its totient is φ = 5384064.

The previous prime is 12201311. The next prime is 12201323. The reversal of 12201315 is 51310221.

It is not a de Polignac number, because 12201315 - 22 = 12201311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 12201294 and 12201303.

It is not an unprimeable number, because it can be changed into a prime (12201311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1042 + ... + 5048.

It is an arithmetic number, because the mean of its divisors is an integer number (721440).

Almost surely, 212201315 is an apocalyptic number.

12201315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12201315 is a deficient number, since it is larger than the sum of its proper divisors (10884765).

12201315 is a wasteful number, since it uses less digits than its factorization.

12201315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4051.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 12201315 is about 3493.0380759448. The cubic root of 12201315 is about 230.2160226247.

Adding to 12201315 its reverse (51310221), we get a palindrome (63511536).

The spelling of 12201315 in words is "twelve million, two hundred one thousand, three hundred fifteen".

Divisors: 1 3 5 7 15 21 29 35 87 105 145 203 435 609 1015 3045 4007 12021 20035 28049 60105 84147 116203 140245 348609 420735 581015 813421 1743045 2440263 4067105 12201315