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200214301110030 = 232541229153236779
BaseRepresentation
bin101101100001100000000110…
…010010111110111100001110
3222020220022002212222101221200
4231201200012102332330032
5202220302342041010110
61545453102530010330
760113002011562044
oct5541400622767416
9866808085871850
10200214301110030
1158881454445149
121a556a584169a6
1387941873b602c
1437625d11a0394
151823077cc46c0
hexb618064bef0e

200214301110030 has 96 divisors (see below), whose sum is σ = 533258278731360. Its totient is φ = 52087826165760.

The previous prime is 200214301110007. The next prime is 200214301110041. The reversal of 200214301110030 is 30011103412002.

200214301110030 is a `hidden beast` number, since 20 + 0 + 214 + 301 + 1 + 100 + 30 = 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 = 200214301109985 and 200214301110012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 845456181 + ... + 845692959.

It is an arithmetic number, because the mean of its divisors is an integer number (5554773736785).

Almost surely, 2200214301110030 is an apocalyptic number.

200214301110030 is an abundant number, since it is smaller than the sum of its proper divisors (333043977621330).

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

200214301110030 is a wasteful number, since it uses less digits than its factorization.

200214301110030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465986 (or 465983 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 200214301110030 its reverse (30011103412002), we get a palindrome (230225404522032).

The spelling of 200214301110030 in words is "two hundred trillion, two hundred fourteen billion, three hundred one million, one hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 229153 236779 458306 473558 687459 710337 1145765 1183895 1374918 1420674 2062377 2131011 2291530 2367790 3437295 3551685 4124754 4262022 6874590 7103370 9395273 9707939 10311885 10655055 18790546 19415878 20623770 21310110 28185819 29123817 46976365 48539695 56371638 58247634 84557457 87371451 93952730 97079390 140929095 145619085 169114914 174742902 281858190 291238170 422787285 436857255 845574570 873714510 54258618187 108517236374 162775854561 271293090935 325551709122 488327563683 542586181870 813879272805 976655127366 1627758545610 2224603345667 2441637818415 4449206691334 4883275636830 6673810037001 11123016728335 13347620074002 20021430111003 22246033456670 33369050185005 40042860222006 66738100370010 100107150555015 200214301110030