Search a number
-
+
203213808001 = 191011814011459
BaseRepresentation
bin1011110101000001111…
…1001010000110000001
3201102112022122001021101
42331100133022012001
511312140213324001
6233204413054401
720452553603431
oct2752037120601
9642468561241
10203213808001
1179200995776
1233473a87401
13162170b3909
149b9ac622c1
15544569da01
hex2f507ca181

203213808001 has 32 divisors (see below), whose sum is σ = 217911657600. Its totient is φ = 188956800000.

The previous prime is 203213807971. The next prime is 203213808013. The reversal of 203213808001 is 100808312302.

It is a 5-Lehmer number, since φ(203213808001) divides (203213808001-1)5.

It is a cyclic number.

It is not a de Polignac number, because 203213808001 - 217 = 203213676929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (203213808041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139282210 + ... + 139283668.

It is an arithmetic number, because the mean of its divisors is an integer number (6809739300).

Almost surely, 2203213808001 is an apocalyptic number.

203213808001 is the 201601-st centered decagonal number.

It is an amenable number.

203213808001 is a deficient number, since it is larger than the sum of its proper divisors (14697849599).

203213808001 is a wasteful number, since it uses less digits than its factorization.

203213808001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161.

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 203213808001 in words is "two hundred three billion, two hundred thirteen million, eight hundred eight thousand, one".

Divisors: 1 19 101 181 401 1459 1919 3439 7619 18281 27721 40501 72581 147359 264079 347339 585059 769519 1379039 2799821 5017501 7330681 11116121 26671979 59090959 105895679 139282939 506767601 1122728221 2012017901 10695463579 203213808001