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12135403409 = 4110128110429
BaseRepresentation
bin10110100110101001…
…11000111110010001
31011022201220100220112
423103110320332101
5144323130402114
65324103451105
7606504140603
oct132324707621
934281810815
1012135403409
115168134218
122428156a95
1311b522289c
148319c7173
154b05ba13e
hex2d3538f91

12135403409 has 16 divisors (see below), whose sum is σ = 12600357840. Its totient is φ = 11679360000.

The previous prime is 12135403381. The next prime is 12135403433. The reversal of 12135403409 is 90430453121.

It can be written as a sum of positive squares in 8 ways, for example, as 2244106384 + 9891297025 = 47372^2 + 99455^2 .

It is a cyclic number.

It is not a de Polignac number, because 12135403409 - 220 = 12134354833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12135403309) 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, 1158407 + ... + 1168835.

It is an arithmetic number, because the mean of its divisors is an integer number (787522365).

Almost surely, 212135403409 is an apocalyptic number.

It is an amenable number.

12135403409 is a deficient number, since it is larger than the sum of its proper divisors (464954431).

12135403409 is a wasteful number, since it uses less digits than its factorization.

12135403409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10852.

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 12135403409 in words is "twelve billion, one hundred thirty-five million, four hundred three thousand, four hundred nine".

Divisors: 1 41 101 281 4141 10429 11521 28381 427589 1053329 1163621 2930549 43186489 120152509 295985449 12135403409