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4242203120 = 245173119267
BaseRepresentation
bin1111110011011010…
…1110000111110000
3101221122110020200002
43330312232013300
532142000444440
61540541045132
7210061063061
oct37466560760
911848406602
104242203120
111887681aa1
129a48567a8
13527b6427c
142c35a0568
1519c669115
hexfcdae1f0

4242203120 has 40 divisors (see below), whose sum is σ = 10443309264. Its totient is φ = 1597064192.

The previous prime is 4242203117. The next prime is 4242203177. The reversal of 4242203120 is 213022424.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×42422031202 = 35992574622675468800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4242203092 and 4242203101.

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 7 ways as a sum of consecutive naturals, for example, 1558274 + ... + 1560993.

Almost surely, 24242203120 is an apocalyptic number.

4242203120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4242203120 is an abundant number, since it is smaller than the sum of its proper divisors (6201106144).

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

4242203120 is a wasteful number, since it uses less digits than its factorization.

4242203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119297 (or 3119291 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4242203120 is about 65132.1972606483. The cubic root of 4242203120 is about 1618.8147505790.

Adding to 4242203120 its reverse (213022424), we get a palindrome (4455225544).

The spelling of 4242203120 in words is "four billion, two hundred forty-two million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 3119267 6238534 12477068 15596335 24954136 31192670 49908272 53027539 62385340 106055078 124770680 212110156 249541360 265137695 424220312 530275390 848440624 1060550780 2121101560 4242203120