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243002442100 = 225211172764399
BaseRepresentation
bin1110001001010000010…
…0110000000101110100
3212020020020222002021011
43202110010300011310
512440132111121400
6303344521402004
723361553451215
oct3422404600564
9766206862234
10243002442100
11940695a8450
123b119039304
1319bb842c6a2
14ba9332d40c
1564c38338ba
hex3894130174

243002442100 has 108 divisors (see below), whose sum is σ = 611082763200. Its totient is φ = 83166502400.

The previous prime is 243002442091. The next prime is 243002442103. The reversal of 243002442100 is 1244200342.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243002442103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64300 + ... + 700099.

Almost surely, 2243002442100 is an apocalyptic number.

243002442100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243002442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305541381600).

243002442100 is an abundant number, since it is smaller than the sum of its proper divisors (368080321100).

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

243002442100 is a wasteful number, since it uses less digits than its factorization.

243002442100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764458 (or 764434 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 243002442100 its reverse (1244200342), we get a palindrome (244246642442).

The spelling of 243002442100 in words is "two hundred forty-three billion, two million, four hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 289 340 374 425 550 578 748 850 935 1100 1156 1445 1700 1870 2890 3179 3740 4675 5780 6358 7225 9350 12716 14450 15895 18700 28900 31790 63580 79475 158950 317900 764399 1528798 3057596 3821995 7643990 8408389 12994783 15287980 16816778 19109975 25989566 33633556 38219950 42041945 51979132 64973915 76439900 84083890 129947830 142942613 168167780 210209725 220911311 259895660 285885226 324869575 420419450 441822622 571770452 649739150 714713065 840838900 883645244 1104556555 1299478300 1429426130 2209113110 2430024421 2858852260 3573565325 4418226220 4860048842 5522782775 7147130650 9720097684 11045565550 12150122105 14294261300 22091131100 24300244210 48600488420 60750610525 121501221050 243002442100