Search a number
-
+
212211200101201 = 7372101773283639
BaseRepresentation
bin110000010000000101000101…
…001100110000101101010001
31000211101012012101221221100021
4300100011011030300231101
5210303332014211214301
62031200251322423441
762461516236505360
oct6020050514605521
91024335171857307
10212211200101201
11616872a0139134
121b973b51661b81
1391545794b6642
143a59110da17d7
15198017884c8a1
hexc10145330b51

212211200101201 has 48 divisors (see below), whose sum is σ = 252053477464320. Its totient is φ = 174999653971200.

The previous prime is 212211200101181. The next prime is 212211200101291. The reversal of 212211200101201 is 102101002112212.

It is not a de Polignac number, because 212211200101201 - 27 = 212211200101073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212211200101291) 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 47 ways as a sum of consecutive naturals, for example, 748031740 + ... + 748315378.

It is an arithmetic number, because the mean of its divisors is an integer number (5251114113840).

Almost surely, 2212211200101201 is an apocalyptic number.

It is an amenable number.

212211200101201 is a deficient number, since it is larger than the sum of its proper divisors (39842277363119).

212211200101201 is a wasteful number, since it uses less digits than its factorization.

212211200101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284594 (or 284557 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212211200101201 its reverse (102101002112212), we get a palindrome (314312202213413).

The spelling of 212211200101201 in words is "two hundred twelve trillion, two hundred eleven billion, two hundred million, one hundred one thousand, two hundred one".

Divisors: 1 7 37 101 259 707 773 1369 3737 5411 9583 26159 28601 78073 138269 200207 283639 546511 967883 1058237 1985473 2888701 7407659 10494643 20220907 28647539 73462501 106881937 200532773 219252947 388301791 748173559 1059958943 1534770629 2718112537 7419712601 8112359039 22144547647 39218480891 56786513273 155011833529 274529366237 300157284443 819348262939 2101100991101 5735437840573 30315885728743 212211200101201