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12132841401 = 3217411934137
BaseRepresentation
bin10110100110010110…
…00111011110111001
31011022120002012111100
423103023013132321
5144322001411101
65323532522013
7606443310312
oct132313073671
934276065440
1012132841401
11516674435a
122427320309
1311b48366c5
1483151b609
154b0260e86
hex2d32c77b9

12132841401 has 24 divisors (see below), whose sum is σ = 19008708264. Its totient is φ = 7427082240.

The previous prime is 12132841397. The next prime is 12132841403. The reversal of 12132841401 is 10414823121.

12132841401 is a `hidden beast` number, since 1 + 213 + 2 + 8 + 41 + 401 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5546025 + 12127295376 = 2355^2 + 110124^2 .

It is not a de Polignac number, because 12132841401 - 22 = 12132841397 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12132841403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 960796 + ... + 973341.

It is an arithmetic number, because the mean of its divisors is an integer number (792029511).

Almost surely, 212132841401 is an apocalyptic number.

It is an amenable number.

12132841401 is a deficient number, since it is larger than the sum of its proper divisors (6875866863).

12132841401 is a wasteful number, since it uses less digits than its factorization.

12132841401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934201 (or 1934198 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 12132841401 in words is "twelve billion, one hundred thirty-two million, eight hundred forty-one thousand, four hundred one".

Divisors: 1 3 9 17 41 51 123 153 369 697 2091 6273 1934137 5802411 17407233 32880329 79299617 98640987 237898851 295922961 713696553 1348093489 4044280467 12132841401