Search a number
-
+
12400213041 = 323761610457
BaseRepresentation
bin10111000110001110…
…00011110000110001
31012000012012002102200
423203013003300301
5200343423304131
65410243333413
7616201033416
oct134307036061
935005162380
1012400213041
115293662657
1224a0981269
13122804c088
14858c3a10d
154c89772e6
hex2e31c3c31

12400213041 has 24 divisors (see below), whose sum is σ = 18697107624. Its totient is φ = 7911509760.

The previous prime is 12400213013. The next prime is 12400213073. The reversal of 12400213041 is 14031200421.

12400213041 is a `hidden beast` number, since 12 + 400 + 213 + 0 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3886275600 + 8513937441 = 62340^2 + 92271^2 .

It is not a de Polignac number, because 12400213041 - 213 = 12400204849 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12400213081) 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, 284916 + ... + 325541.

It is an arithmetic number, because the mean of its divisors is an integer number (779046151).

Almost surely, 212400213041 is an apocalyptic number.

It is an amenable number.

12400213041 is a deficient number, since it is larger than the sum of its proper divisors (6296894583).

12400213041 is a wasteful number, since it uses less digits than its factorization.

12400213041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610561 (or 610558 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12400213041 its reverse (14031200421), we get a palindrome (26431413462).

The spelling of 12400213041 in words is "twelve billion, four hundred million, two hundred thirteen thousand, forty-one".

Divisors: 1 3 9 37 61 111 183 333 549 2257 6771 20313 610457 1831371 5494113 22586909 37237877 67760727 111713631 203282181 335140893 1377801449 4133404347 12400213041