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211013031133 = 1971791980023
BaseRepresentation
bin1100010010000101011…
…0110101010011011101
3202011122212020122002101
43010201112311103131
511424123313444013
6240534341325101
721150046112332
oct3044126652335
9664585218071
10211013031133
118154339a523
1234a8ba06791
1316b8ab59c48
14a2da9c4989
1557502398dd
hex31215b54dd

211013031133 has 16 divisors (see below), whose sum is σ = 228098764800. Its totient is φ = 194596562160.

The previous prime is 211013031109. The next prime is 211013031137. The reversal of 211013031133 is 331130310112.

211013031133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211013031133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 211013031133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211013031137) 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 15 ways as a sum of consecutive naturals, for example, 883441 + ... + 1096582.

It is an arithmetic number, because the mean of its divisors is an integer number (14256172800).

Almost surely, 2211013031133 is an apocalyptic number.

It is an amenable number.

211013031133 is a deficient number, since it is larger than the sum of its proper divisors (17085733667).

211013031133 is a wasteful number, since it uses less digits than its factorization.

211013031133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980192.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 211013031133 its reverse (331130310112), we get a palindrome (542143341245).

The spelling of 211013031133 in words is "two hundred eleven billion, thirteen million, thirty-one thousand, one hundred thirty-three".

Divisors: 1 19 71 79 1349 1501 5609 106571 1980023 37620437 140581633 156421817 2671051027 2972014523 11105949007 211013031133