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21200242302 = 23229712112711
BaseRepresentation
bin10011101111101000…
…100000011001111110
32000201110222220011100
4103233220200121332
5321404230223202
613423402433530
71350235041411
oct235750403176
960643886140
1021200242302
118a99a90908
124137b028a6
131ccb255495
141051879b78
1584130341c
hex4efa2067e

21200242302 has 96 divisors (see below), whose sum is σ = 48433282560. Its totient is φ = 6692616000.

The previous prime is 21200242291. The next prime is 21200242333. The reversal of 21200242302 is 20324200212.

21200242302 is a `hidden beast` number, since 2 + 120 + 0 + 242 + 302 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 7818727 + ... + 7821437.

It is an arithmetic number, because the mean of its divisors is an integer number (504513360).

Almost surely, 221200242302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21200242302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24216641280).

21200242302 is an abundant number, since it is smaller than the sum of its proper divisors (27233040258).

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

21200242302 is a wasteful number, since it uses less digits than its factorization.

21200242302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030 (or 3027 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 21200242302 its reverse (20324200212), we get a palindrome (41524442514).

The spelling of 21200242302 in words is "twenty-one billion, two hundred million, two hundred forty-two thousand, three hundred two".

Divisors: 1 2 3 6 9 18 29 58 71 87 142 174 211 213 261 422 426 522 633 639 1266 1278 1899 2059 2711 3798 4118 5422 6119 6177 8133 12238 12354 14981 16266 18357 18531 24399 29962 36714 37062 44943 48798 55071 78619 89886 110142 134829 157238 192481 235857 269658 384962 434449 471714 572021 577443 707571 868898 1144042 1154886 1303347 1415142 1716063 1732329 2606694 3432126 3464658 3910041 5148189 5581949 7820082 10296378 11163898 16588609 16745847 33177218 33491694 40613491 49765827 50237541 81226982 99531654 100475082 121840473 149297481 243680946 298594962 365521419 731042838 1177791239 2355582478 3533373717 7066747434 10600121151 21200242302