Search a number
-
+
221103312030 = 232537444114951
BaseRepresentation
bin1100110111101011001…
…0001100110010011110
3210010201001220000022200
43031322302030302132
512110304421441110
6245323511152330
721655101100026
oct3157262146236
9703631800280
10221103312030
1185851067947
1236a270756a6
1317b08467163
14a9b6b28a86
155b40ecc6c0
hex337ac8cc9e

221103312030 has 96 divisors (see below), whose sum is σ = 590578043328. Its totient is φ = 57350592000.

The previous prime is 221103312029. The next prime is 221103312061. The reversal of 221103312030 is 30213301122.

221103312030 is a `hidden beast` number, since 22 + 110 + 331 + 203 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 221103311994 and 221103312012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14781055 + ... + 14796005.

It is an arithmetic number, because the mean of its divisors is an integer number (6151854618).

Almost surely, 2221103312030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221103312030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295289021664).

221103312030 is an abundant number, since it is smaller than the sum of its proper divisors (369474731298).

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

221103312030 is a wasteful number, since it uses less digits than its factorization.

221103312030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19442 (or 19439 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 221103312030 its reverse (30213301122), we get a palindrome (251316613152).

The spelling of 221103312030 in words is "two hundred twenty-one billion, one hundred three million, three hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 4441 8882 13323 14951 22205 26646 29902 39969 44410 44853 66615 74755 79938 89706 133230 134559 149510 164317 199845 224265 269118 328634 399690 448530 492951 553187 672795 821585 985902 1106374 1345590 1478853 1643170 1659561 2464755 2765935 2957706 3319122 4929510 4978683 5531870 7394265 8297805 9957366 14788530 16595610 24893415 49786830 66397391 132794782 199192173 331986955 398384346 597576519 663973910 995960865 1195153038 1991921730 2456703467 2987882595 4913406934 5975765190 7370110401 12283517335 14740220802 22110331203 24567034670 36850552005 44220662406 73701104010 110551656015 221103312030