Search a number
-
+
1001133331211 = 131071514766371
BaseRepresentation
bin11101001000110000011…
…00100101001100001011
310112201002200222121122002
432210120030211030023
5112400310113044321
62043525253421215
7132221005623446
oct16443014451413
93481080877562
101001133331211
1135663a736462
1214203963a80b
1373539019820
1436652b8065d
151b095ed320b
hexe91832530b

1001133331211 has 16 divisors (see below), whose sum is σ = 1095426678528. Its totient is φ = 909423396000.

The previous prime is 1001133331127. The next prime is 1001133331271. The reversal of 1001133331211 is 1121333311001.

It is a cyclic number.

It is not a de Polignac number, because 1001133331211 - 210 = 1001133330187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001133331271) 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 15 ways as a sum of consecutive naturals, for example, 2173145 + ... + 2593226.

It is an arithmetic number, because the mean of its divisors is an integer number (68464167408).

Almost surely, 21001133331211 is an apocalyptic number.

1001133331211 is a deficient number, since it is larger than the sum of its proper divisors (94293347317).

1001133331211 is a wasteful number, since it uses less digits than its factorization.

1001133331211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4766642.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 1001133331211 its reverse (1121333311001), we get a palindrome (2122466642212).

The spelling of 1001133331211 in words is "one trillion, one billion, one hundred thirty-three million, three hundred thirty-one thousand, two hundred eleven".

Divisors: 1 13 107 151 1391 1963 16157 210041 4766371 61962823 510001697 719722021 6630022061 9356386273 77010256247 1001133331211