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12108141369 = 324328532
BaseRepresentation
bin10110100011011001…
…11001001100111001
31011020211121022102100
423101230321030321
5144244141010434
65321251254013
7606023334462
oct132154711471
934224538370
1012108141369
115153803905
12241abaa309
1311ac698bbc
1482c12bd69
154aced2699
hex2d1b39339

12108141369 has 27 divisors (see below), whose sum is σ = 17926745967. Its totient is φ = 7875128016.

The previous prime is 12108141329. The next prime is 12108141371. The reversal of 12108141369 is 96314180121.

The square root of 12108141369 is 110037.

It is a perfect power (a square), and thus also a powerful number.

12108141369 is a `hidden beast` number, since 1 + 210 + 81 + 4 + 1 + 369 = 666.

It can be written as a sum of positive squares in only one way, i.e., 699338025 + 11408803344 = 26445^2 + 106812^2 .

It is not a de Polignac number, because 12108141369 - 215 = 12108108601 is a prime.

It is a super-2 number, since 2×121081413692 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12108141329) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14194347 + ... + 14195199.

Almost surely, 212108141369 is an apocalyptic number.

12108141369 is the 110037-th square number.

12108141369 is the 55019-th centered octagonal number.

It is an amenable number.

12108141369 is a deficient number, since it is larger than the sum of its proper divisors (5818604598).

12108141369 is an frugal number, since it uses more digits than its factorization.

12108141369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Multiplying 12108141369 by its sum of digits (36), we get a square (435893089284 = 6602222).

The spelling of 12108141369 in words is "twelve billion, one hundred eight million, one hundred forty-one thousand, three hundred sixty-nine".

Divisors: 1 3 9 43 129 387 853 1849 2559 5547 7677 16641 36679 110037 330111 727609 1577197 2182827 4731591 6548481 14194773 31287187 93861561 281584683 1345349041 4036047123 12108141369