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12400242030 = 23251112525497
BaseRepresentation
bin10111000110001110…
…01010110101101110
31012000012020120012100
423203013022311232
5200343430221110
65410244115530
7616201214061
oct134307126556
935005216170
1012400242030
115293682410
1224a0995ba6
13122805c327
14858c468d8
154c8980bc0
hex2e31cad6e

12400242030 has 48 divisors (see below), whose sum is σ = 35171598384. Its totient is φ = 3006119040.

The previous prime is 12400241999. The next prime is 12400242067. The reversal of 12400242030 is 3024200421.

12400242030 is a `hidden beast` number, since 1 + 240 + 0 + 2 + 420 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12400241994 and 12400242012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6261759 + ... + 6263738.

It is an arithmetic number, because the mean of its divisors is an integer number (732741633).

Almost surely, 212400242030 is an apocalyptic number.

12400242030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12400242030 is an abundant number, since it is smaller than the sum of its proper divisors (22771356354).

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

12400242030 is a wasteful number, since it uses less digits than its factorization.

12400242030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12525521 (or 12525518 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 12400242030 its reverse (3024200421), we get a palindrome (15424442451).

The spelling of 12400242030 in words is "twelve billion, four hundred million, two hundred forty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 12525497 25050994 37576491 62627485 75152982 112729473 125254970 137780467 187882455 225458946 275560934 375764910 413341401 563647365 688902335 826682802 1127294730 1240024203 1377804670 2066707005 2480048406 4133414010 6200121015 12400242030