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12205315053 = 3217636112541
BaseRepresentation
bin10110101110111111…
…00101001111101101
31011111121110020122200
423113133211033231
5144444030040203
65335042132113
7611313315621
oct132737451755
934447406580
1012205315053
1151a3644938
122447651039
1311c6860119
1483adc5181
154b67c99a3
hex2d77e53ed

12205315053 has 24 divisors (see below), whose sum is σ = 18671375736. Its totient is φ = 7656422400.

The previous prime is 12205315037. The next prime is 12205315063. The reversal of 12205315053 is 35051350221.

It is a happy number.

12205315053 is a `hidden beast` number, since 12 + 20 + 531 + 50 + 53 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4026283209 + 8179031844 = 63453^2 + 90438^2 .

It is not a de Polignac number, because 12205315053 - 24 = 12205315037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12205315063) 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 23 ways as a sum of consecutive naturals, for example, 966963 + ... + 979503.

It is an arithmetic number, because the mean of its divisors is an integer number (777973989).

Almost surely, 212205315053 is an apocalyptic number.

It is an amenable number.

12205315053 is a deficient number, since it is larger than the sum of its proper divisors (6466060683).

12205315053 is a wasteful number, since it uses less digits than its factorization.

12205315053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18925 (or 18922 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 12205315053 its reverse (35051350221), we get a palindrome (47256665274).

The spelling of 12205315053 in words is "twelve billion, two hundred five million, three hundred fifteen thousand, fifty-three".

Divisors: 1 3 9 17 51 153 6361 12541 19083 37623 57249 108137 112869 213197 324411 639591 973233 1918773 79773301 239319903 717959709 1356146117 4068438351 12205315053