Search a number
-
+
300200202020322 = 232353186397253469
BaseRepresentation
bin100010001000001111100111…
…0011001110010010111100010
31110100220212012020100222010200
41010100133032121302113202
5303321440003204122242
62542250022520210030
7120142514600534442
oct10420371631622742
91410825166328120
10300200202020322
118772021092356a
1229804988309916
13cb679b0537a36
14541baa56a4122
1524a8d698db04c
hex11107ce6725e2

300200202020322 has 48 divisors (see below), whose sum is σ = 652282432434360. Its totient is φ = 99782329844736.

The previous prime is 300200202020239. The next prime is 300200202020357. The reversal of 300200202020322 is 223020202002003.

300200202020322 is a `hidden beast` number, since 300 + 2 + 0 + 0 + 2 + 0 + 20 + 20 + 322 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 165749428645641 + 134450773374681 = 12874371^2 + 11595291^2 .

It is a super-2 number, since 2×3002002020203222 (a number of 30 digits) contains 22 as substring.

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 = 300200202020295 and 300200202020304.

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 23 ways as a sum of consecutive naturals, for example, 1184239804 + ... + 1184493272.

Almost surely, 2300200202020322 is an apocalyptic number.

300200202020322 is an abundant number, since it is smaller than the sum of its proper divisors (352082230414038).

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

300200202020322 is a wasteful number, since it uses less digits than its factorization.

300200202020322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440227 (or 440224 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 300200202020322 its reverse (223020202002003), we get a palindrome (523220404022325).

The spelling of 300200202020322 in words is "three hundred trillion, two hundred billion, two hundred two million, twenty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 353 706 1059 2118 3177 6354 186397 253469 372794 506938 559191 760407 1118382 1520814 1677573 2281221 3355146 4562442 65798141 89474557 131596282 178949114 197394423 268423671 394788846 536847342 592183269 805271013 1184366538 1610542026 47245861193 94491722386 141737583579 283475167158 425212750737 850425501474 16677789001129 33355578002258 50033367003387 100066734006774 150100101010161 300200202020322