Search a number
-
+
211100020101 = 3317609444007
BaseRepresentation
bin1100010010011010001…
…0101010110110000101
3202011212220221010112000
43010212202222312011
511424313101120401
6240551130015513
721152153364435
oct3044642526605
9664786833460
10211100020101
1181588504633
1234ab4b77599
1316ba2b964c9
14a30838a2c5
155757bbe186
hex31268aad85

211100020101 has 16 divisors (see below), whose sum is σ = 312759235200. Its totient is φ = 140725037664.

The previous prime is 211100020069. The next prime is 211100020111. The reversal of 211100020101 is 101020001112.

It is a happy number.

It is not a de Polignac number, because 211100020101 - 25 = 211100020069 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211100020111) 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, 253440 + ... + 697446.

It is an arithmetic number, because the mean of its divisors is an integer number (19547452200).

Almost surely, 2211100020101 is an apocalyptic number.

It is an amenable number.

211100020101 is a deficient number, since it is larger than the sum of its proper divisors (101659215099).

211100020101 is a wasteful number, since it uses less digits than its factorization.

211100020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461625 (or 461619 counting only the distinct ones).

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

Adding to 211100020101 its reverse (101020001112), we get a palindrome (312120021213).

The spelling of 211100020101 in words is "two hundred eleven billion, one hundred million, twenty thousand, one hundred one".

Divisors: 1 3 9 27 17609 52827 158481 444007 475443 1332021 3996063 11988189 7818519263 23455557789 70366673367 211100020101