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30212330202 = 232231134091579
BaseRepresentation
bin11100001000110010…
…111001001011011010
32212222112211101122200
4130020302321023122
5443333324031302
621513535031030
72116455366225
oct341062711332
985875741580
1030212330202
11118a408893a
125a3206b476
132b06378782
14166871a5bc
15bbc5bb81c
hex708cb92da

30212330202 has 96 divisors (see below), whose sum is σ = 69122851200. Its totient is φ = 9518294016.

The previous prime is 30212330177. The next prime is 30212330221. The reversal of 30212330202 is 20203321203.

It is a happy number.

30212330202 is a `hidden beast` number, since 302 + 12 + 330 + 20 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19133049 + ... + 19134627.

It is an arithmetic number, because the mean of its divisors is an integer number (720029700).

Almost surely, 230212330202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30212330202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34561425600).

30212330202 is an abundant number, since it is smaller than the sum of its proper divisors (38910520998).

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

30212330202 is a wasteful number, since it uses less digits than its factorization.

30212330202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 30212330202 its reverse (20203321203), we get a palindrome (50415651405).

The spelling of 30212330202 in words is "thirty billion, two hundred twelve million, three hundred thirty thousand, two hundred two".

Divisors: 1 2 3 6 9 18 23 46 69 113 138 207 226 339 409 414 678 818 1017 1227 1579 2034 2454 2599 3158 3681 4737 5198 7362 7797 9407 9474 14211 15594 18814 23391 28221 28422 36317 46217 46782 56442 72634 84663 92434 108951 138651 169326 178427 217902 277302 326853 356854 415953 535281 645811 653706 831906 1062991 1070562 1291622 1605843 1937433 2125982 3188973 3211686 3874866 4103821 5812299 6377946 8207642 9566919 11624598 12311463 14853653 19133838 24622926 29707306 36934389 44560959 72976643 73868778 89121918 133682877 145953286 218929929 267365754 437859858 656789787 1313579574 1678462789 3356925578 5035388367 10070776734 15106165101 30212330202