Search a number
-
+
11000012200221 = 3113742557211693
BaseRepresentation
bin1010000000010010001111…
…0100011101100100011101
31102221120221202121111212110
42200010203310131210131
52420211011110401341
635221200313024233
72213503361655432
oct240044364354435
942846852544773
1011000012200221
113561096132140
121297a619b5079
1361a3b1b06215
142a059102db89
151412077b9216
hexa0123d1d91d

11000012200221 has 32 divisors (see below), whose sum is σ = 16432914411648. Its totient is φ = 6486310621440.

The previous prime is 11000012200181. The next prime is 11000012200231. The reversal of 11000012200221 is 12200221000011.

It is not a de Polignac number, because 11000012200221 - 230 = 10998938458397 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11000012200197 and 11000012200206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000012200231) 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 31 ways as a sum of consecutive naturals, for example, 51856251 + ... + 52067943.

It is an arithmetic number, because the mean of its divisors is an integer number (513528575364).

Almost surely, 211000012200221 is an apocalyptic number.

11000012200221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11000012200221 is a deficient number, since it is larger than the sum of its proper divisors (5432902211427).

11000012200221 is a wasteful number, since it uses less digits than its factorization.

11000012200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254301.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11000012200221 its reverse (12200221000011), we get a palindrome (23200233200232).

The spelling of 11000012200221 in words is "eleven trillion, twelve million, two hundred thousand, two hundred twenty-one".

Divisors: 1 3 11 33 37 111 407 1221 42557 127671 211693 468127 635079 1404381 1574609 2328623 4723827 6985869 7832641 17320699 23497923 51962097 86159051 258477153 9009019001 27027057003 99099209011 297297627033 333333703037 1000001109111 3666670733407 11000012200221