Search a number
-
+
200131212230001 = 321343881427310567
BaseRepresentation
bin101101100000010010101101…
…110100000011110101110001
3222020121100122021120222010200
4231200102231310003311301
5202212422210312330001
61545351002030545413
760104001002005233
oct5540225564036561
9866540567528120
10200131212230001
115884a196991858
121a54292a068269
1387893a534a770
14375c58c0c4253
151820d13557086
hexb604add03d71

200131212230001 has 96 divisors (see below), whose sum is σ = 319021514203392. Its totient is φ = 120117506826240.

The previous prime is 200131212229987. The next prime is 200131212230003. The reversal of 200131212230001 is 100032212131002.

200131212230001 is a `hidden beast` number, since 20 + 0 + 131 + 212 + 2 + 300 + 0 + 1 = 666.

It is not a de Polignac number, because 200131212230001 - 26 = 200131212229937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (200131212230003) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 18939259620 + ... + 18939270186.

It is an arithmetic number, because the mean of its divisors is an integer number (3323140772952).

Almost surely, 2200131212230001 is an apocalyptic number.

It is an amenable number.

200131212230001 is a deficient number, since it is larger than the sum of its proper divisors (118890301973391).

200131212230001 is a wasteful number, since it uses less digits than its factorization.

200131212230001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15783 (or 15780 counting only the distinct ones).

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

Adding to 200131212230001 its reverse (100032212131002), we get a palindrome (300163424361003).

The spelling of 200131212230001 in words is "two hundred trillion, one hundred thirty-one billion, two hundred twelve million, two hundred thirty thousand, one".

Divisors: 1 3 9 13 39 43 117 129 387 559 881 1677 2643 4273 5031 7929 10567 11453 12819 31701 34359 37883 38457 55549 95103 103077 113649 137371 166647 183739 340947 412113 454381 492479 499941 551217 1236339 1363143 1477437 1653651 2388607 3764513 4089429 4432311 5906953 7165821 9309527 11293539 17720859 21497463 27928581 33880617 45152791 48938669 53162577 83785743 121023851 135458373 146816007 161874059 363071553 400309661 406375119 440448021 485622177 586986283 1089214659 1200928983 1456866531 1760958849 1941570013 2104362767 3602786949 5204025593 5282876547 5824710039 6313088301 15612076779 17474130117 18939264903 25240410169 39779608871 46836230337 75721230507 119338826613 227163691521 358016479839 517134915323 1551404745969 1710523181453 4654214237907 5131569544359 15394708633077 22236801358889 66710404076667 200131212230001