Search a number
-
+
200545321125141 = 32376172099465019
BaseRepresentation
bin101101100110010100011000…
…101000001000010100010101
3222022001221112020112110202100
4231212110120220020110111
5202241213304202001031
61550305125413432313
760145631003355306
oct5546243050102425
9868057466473670
10200545321125141
115899987a629973
121a5ab03a33b699
1387b945ba04165
143774633dc87ad
15182b99d8e3de6
hexb66518a08515

200545321125141 has 48 divisors (see below), whose sum is σ = 298130460264000. Its totient is φ = 129810466646784.

The previous prime is 200545321125109. The next prime is 200545321125203. The reversal of 200545321125141 is 141521123545002.

200545321125141 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 4 + 532 + 112 + 5 + 1 + 4 + 1 = 666.

It is not a de Polignac number, because 200545321125141 - 25 = 200545321125109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200545321125096 and 200545321125105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200545321125101) by changing a digit.

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, 431030130 + ... + 431495148.

It is an arithmetic number, because the mean of its divisors is an integer number (6211051255500).

Almost surely, 2200545321125141 is an apocalyptic number.

It is an amenable number.

200545321125141 is a deficient number, since it is larger than the sum of its proper divisors (97585139138859).

200545321125141 is a wasteful number, since it uses less digits than its factorization.

200545321125141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467778 (or 467775 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 200545321125141 in words is "two hundred trillion, five hundred forty-five billion, three hundred twenty-one million, one hundred twenty-five thousand, one hundred forty-one".

Divisors: 1 3 9 37 111 333 617 1851 2099 5553 6297 18891 22829 68487 77663 205461 232989 465019 698967 1295083 1395057 3885249 4185171 11655747 17205703 47918071 51617109 143754213 154851327 286916723 431262639 860750169 976074881 2582250507 2928224643 8784673929 10615918751 31847756253 36114770597 95543268759 108344311791 325032935373 602238201577 1806714604731 5420143814193 22282813458349 66848440375047 200545321125141