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12153030135 = 3519257277599
BaseRepresentation
bin10110101000110000…
…01000010111110111
31011100222001220020020
423110120020113313
5144342133431020
65325533340223
7610110023511
oct132430102767
934328056206
1012153030135
115177083464
122432037673
1311b8a849bc
14834094bb1
154b1decc40
hex2d46085f7

12153030135 has 64 divisors (see below), whose sum is σ = 20656512000. Its totient is φ = 6084329472.

The previous prime is 12153030133. The next prime is 12153030137. The reversal of 12153030135 is 53103035121.

12153030135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12153030133) and next prime (12153030137).

It is not a de Polignac number, because 12153030135 - 21 = 12153030133 is a prime.

It is a super-2 number, since 2×121530301352 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12153030133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20288566 + ... + 20289164.

It is an arithmetic number, because the mean of its divisors is an integer number (322758000).

Almost surely, 212153030135 is an apocalyptic number.

12153030135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12153030135 is a deficient number, since it is larger than the sum of its proper divisors (8503481865).

12153030135 is a wasteful number, since it uses less digits than its factorization.

12153030135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160.

The product of its (nonzero) digits is 1350, while the sum is 24.

Adding to 12153030135 its reverse (53103035121), we get a palindrome (65256065256).

The spelling of 12153030135 in words is "twelve billion, one hundred fifty-three million, thirty thousand, one hundred thirty-five".

Divisors: 1 3 5 15 19 57 95 257 277 285 599 771 831 1285 1385 1797 2995 3855 4155 4883 5263 8985 11381 14649 15789 24415 26315 34143 56905 71189 73245 78945 153943 165923 170715 213567 355945 461829 497769 769715 829615 1067835 1352591 2309145 2488845 2924917 3152537 4057773 6762955 8774751 9457611 14624585 15762685 20288865 42642211 43873755 47288055 127926633 213211055 639633165 810202009 2430606027 4051010045 12153030135