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12105793330 = 2517373190913
BaseRepresentation
bin10110100011000111…
…11011111100110010
31011020200012000111221
423101203323330302
5144243040341310
65321125055254
7605664355051
oct132143737462
934220160457
1012105793330
11515244a784
12241a25752a
1311ac056227
1482baba398
154acbbbada
hex2d18fbf32

12105793330 has 32 divisors (see below), whose sum is σ = 23134194864. Its totient is φ = 4545232896.

The previous prime is 12105793307. The next prime is 12105793333. The reversal of 12105793330 is 3339750121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6461426689 + 5644366641 = 80383^2 + 75129^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (12105793333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32047 + ... + 158866.

Almost surely, 212105793330 is an apocalyptic number.

12105793330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12105793330 is a deficient number, since it is larger than the sum of its proper divisors (11028401534).

12105793330 is a wasteful number, since it uses less digits than its factorization.

12105793330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191310.

The product of its (nonzero) digits is 17010, while the sum is 34.

The spelling of 12105793330 in words is "twelve billion, one hundred five million, seven hundred ninety-three thousand, three hundred thirty".

Divisors: 1 2 5 10 17 34 85 170 373 746 1865 3730 6341 12682 31705 63410 190913 381826 954565 1909130 3245521 6491042 16227605 32455210 71210549 142421098 356052745 712105490 1210579333 2421158666 6052896665 12105793330