Search a number
-
+
12135511240 = 235734155997
BaseRepresentation
bin10110100110101010…
…10011010011001000
31011022202002211211021
423103111103103020
5144323142324430
65324110042224
7606505100146
oct132325232310
934282084737
1012135511240
1151681a8236
1224281a9374
1311b525c9a8
14831a14596
154b05dc07a
hex2d35534c8

12135511240 has 32 divisors (see below), whose sum is σ = 27678946680. Its totient is φ = 4787707392.

The previous prime is 12135511231. The next prime is 12135511247. The reversal of 12135511240 is 4211553121.

It can be written as a sum of positive squares in 4 ways, for example, as 9825170884 + 2310340356 = 99122^2 + 48066^2 .

It is not an unprimeable number, because it can be changed into a prime (12135511247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2075079 + ... + 2080918.

Almost surely, 212135511240 is an apocalyptic number.

12135511240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12135511240 is an abundant number, since it is smaller than the sum of its proper divisors (15543435440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12135511240 is a wasteful number, since it uses less digits than its factorization.

12135511240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4156081 (or 4156077 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The spelling of 12135511240 in words is "twelve billion, one hundred thirty-five million, five hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 4155997 8311994 16623988 20779985 33247976 41559970 83119940 166239880 303387781 606775562 1213551124 1516938905 2427102248 3033877810 6067755620 12135511240