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2104012242 = 2321721132587
BaseRepresentation
bin111110101101000…
…1010110111010010
312102122001220012100
41331122022313102
513302111342432
6544440141230
7103065544323
oct17532126722
95378056170
102104012242
1198a7295a2
124a8767816
13276b94177
1415d61244a
15c4aab07c
hex7d68add2

2104012242 has 48 divisors (see below), whose sum is σ = 4849876512. Its totient is φ = 656933760.

The previous prime is 2104012241. The next prime is 2104012249. The reversal of 2104012242 is 2422104012.

2104012242 is a `hidden beast` number, since 21 + 0 + 401 + 2 + 242 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2104012241) 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, 48273 + ... + 80859.

It is an arithmetic number, because the mean of its divisors is an integer number (101039094).

Almost surely, 22104012242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2104012242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424938256).

2104012242 is an abundant number, since it is smaller than the sum of its proper divisors (2745864270).

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

2104012242 is a wasteful number, since it uses less digits than its factorization.

2104012242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32823 (or 32820 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2104012242 is about 45869.5132086662. The cubic root of 2104012242 is about 1281.3942006664.

Adding to 2104012242 its reverse (2422104012), we get a palindrome (4526116254).

The spelling of 2104012242 in words is "two billion, one hundred four million, twelve thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 211 306 422 633 1266 1899 3587 3798 7174 10761 21522 32283 32587 64566 65174 97761 195522 293283 553979 586566 1107958 1661937 3323874 4985811 6875857 9971622 13751714 20627571 41255142 61882713 116889569 123765426 233779138 350668707 701337414 1052006121 2104012242