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30231210330 = 232517115317137
BaseRepresentation
bin11100001001111010…
…111010100101011010
32220000212100121022200
4130021322322211122
5443403142212310
621515451431030
72120105022306
oct341172724532
986025317280
1030231210330
1111903803852
125a38455476
132b0a259249
14166b032d06
15bbe09a9c0
hex709eba95a

30231210330 has 96 divisors (see below), whose sum is σ = 83301785424. Its totient is φ = 7580418048.

The previous prime is 30231210299. The next prime is 30231210367. The reversal of 30231210330 is 3301213203.

30231210330 is a `hidden beast` number, since 302 + 31 + 2 + 1 + 0 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11427396201 + 18803814129 = 106899^2 + 137127^2 .

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1755522 + ... + 1772658.

Almost surely, 230231210330 is an apocalyptic number.

30231210330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30231210330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41650892712).

30231210330 is an abundant number, since it is smaller than the sum of its proper divisors (53070575094).

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

30231210330 is a wasteful number, since it uses less digits than its factorization.

30231210330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18320 (or 18317 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30231210330 its reverse (3301213203), we get a palindrome (33532423533).

The spelling of 30231210330 in words is "thirty billion, two hundred thirty-one million, two hundred ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1153 1530 2306 3459 5765 6918 10377 11530 17137 17295 19601 20754 34274 34590 39202 51411 51885 58803 85685 98005 102822 103770 117606 154233 171370 176409 196010 257055 291329 294015 308466 352818 514110 582658 588030 771165 873987 882045 1456645 1542330 1747974 1764090 2621961 2913290 4369935 5243922 8739870 13109805 19758961 26219610 39517922 59276883 98794805 118553766 177830649 197589610 296384415 335902337 355661298 592768830 671804674 889153245 1007707011 1679511685 1778306490 2015414022 3023121033 3359023370 5038535055 6046242066 10077070110 15115605165 30231210330