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2430211120 = 24553573163
BaseRepresentation
bin1001000011011010…
…0001010000110000
320021100212111221021
42100312201100300
514434113223440
61041051505224
7114136311421
oct22066412060
96240774837
102430211120
111037877647
12579a58214
132c9635a5c
14190a85648
15e354284a
hex90da1430

2430211120 has 40 divisors (see below), whose sum is σ = 5756859216. Its totient is φ = 953741568.

The previous prime is 2430211061. The next prime is 2430211123. The reversal of 2430211120 is 211120342.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2430211094 and 2430211103.

It is not an unprimeable number, because it can be changed into a prime (2430211123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282342 + ... + 290821.

Almost surely, 22430211120 is an apocalyptic number.

2430211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2430211120 is an abundant number, since it is smaller than the sum of its proper divisors (3326648096).

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

2430211120 is a wasteful number, since it uses less digits than its factorization.

2430211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573229 (or 573223 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2430211120 is about 49297.1715212952. The cubic root of 2430211120 is about 1344.4603575792.

Adding to 2430211120 its reverse (211120342), we get a palindrome (2641331462).

The spelling of 2430211120 in words is "two billion, four hundred thirty million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 573163 1146326 2292652 2865815 4585304 5731630 9170608 11463260 22926520 30377639 45853040 60755278 121510556 151888195 243021112 303776390 486042224 607552780 1215105560 2430211120