Search a number
-
+
201000012010011 = 322347109118936649
BaseRepresentation
bin101101101100111011110110…
…010100001101001000011011
3222100200102011102122122200200
4231230323312110031020123
5202321141011033310021
61551254044125233243
760223525450204254
oct5554736624151033
9870612142578620
10201000012010011
11590546987a1575
121a663195402823
1388202b1ba1126
14378c6498b5b2b
1518387118c9126
hexb6cef650d21b

201000012010011 has 48 divisors (see below), whose sum is σ = 309686035276800. Its totient is φ = 125331826055040.

The previous prime is 201000012009977. The next prime is 201000012010027. The reversal of 201000012010011 is 110010210000102.

It is a happy number.

It is not a de Polignac number, because 201000012010011 - 225 = 200999978455579 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 201000012009975 and 201000012010002.

It is not an unprimeable number, because it can be changed into a prime (201000012010081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1146015 + ... + 20082663.

It is an arithmetic number, because the mean of its divisors is an integer number (6451792401600).

Almost surely, 2201000012010011 is an apocalyptic number.

201000012010011 is a deficient number, since it is larger than the sum of its proper divisors (108686023266789).

201000012010011 is a wasteful number, since it uses less digits than its factorization.

201000012010011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18937816 (or 18937813 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 201000012010011 its reverse (110010210000102), we get a palindrome (311010222010113).

The spelling of 201000012010011 in words is "two hundred one trillion, twelve million, ten thousand, eleven".

Divisors: 1 3 9 23 47 69 141 207 423 1081 1091 3243 3273 9729 9819 25093 51277 75279 153831 225837 461493 1179371 3538113 10614339 18936649 56809947 170429841 435542927 890022503 1306628781 2670067509 3919886343 8010202527 20470517569 20659884059 61411552707 61979652177 184234658121 185938956531 475177333357 971014550773 1425532000071 2913043652319 4276596000213 8739130956957 22333334667779 67000004003337 201000012010011