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6123012324 = 223111329413001
BaseRepresentation
bin1011011001111010…
…11100000011100100
3120210201112020212020
411230331130003210
5100014442343244
62451325223140
7304506513612
oct55475340344
916721466766
106123012324
11266230a870
12122a701ab0
13767708b20
144212b06b2
1525c835d19
hex16cf5c0e4

6123012324 has 192 divisors, whose sum is σ = 17792974080. Its totient is φ = 1612800000.

The previous prime is 6123012307. The next prime is 6123012341. The reversal of 6123012324 is 4232103216.

It is an interprime number because it is at equal distance from previous prime (6123012307) and next prime (6123012341).

It is a junction number, because it is equal to n+sod(n) for n = 6123012294 and 6123012303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2038824 + ... + 2041824.

It is an arithmetic number, because the mean of its divisors is an integer number (92671740).

Almost surely, 26123012324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6123012324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8896487040).

6123012324 is an abundant number, since it is smaller than the sum of its proper divisors (11669961756).

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

6123012324 is a wasteful number, since it uses less digits than its factorization.

6123012324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3102 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 6123012324 is about 78249.6793859246. The cubic root of 6123012324 is about 1829.4549148462.

The spelling of 6123012324 in words is "six billion, one hundred twenty-three million, twelve thousand, three hundred twenty-four".