Search a number
-
+
211020311019 = 3759170315021
BaseRepresentation
bin1100010010000111001…
…0100110100111101011
3202011200100221111012210
43010201302212213223
511424132144423034
6240535201340203
721150165022440
oct3044162464753
9664610844183
10211020311019
1181547511a61
1234a92337663
1316b8c50867b
14a2db95b9c7
155750bc68e9
hex3121ca69eb

211020311019 has 16 divisors (see below), whose sum is σ = 327004842240. Its totient is φ = 118539253920.

The previous prime is 211020310993. The next prime is 211020311023. The reversal of 211020311019 is 910113020112.

It is a happy number.

211020311019 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211020311019 - 212 = 211020306923 is a prime.

It is a super-2 number, since 2×2110203110192 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 211020310986 and 211020311004.

It is not an unprimeable number, because it can be changed into a prime (211020311119) 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, 85156272 + ... + 85158749.

It is an arithmetic number, because the mean of its divisors is an integer number (20437802640).

Almost surely, 2211020311019 is an apocalyptic number.

211020311019 is a deficient number, since it is larger than the sum of its proper divisors (115984531221).

211020311019 is a wasteful number, since it uses less digits than its factorization.

211020311019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170315090.

The product of its (nonzero) digits is 108, while the sum is 21.

The spelling of 211020311019 in words is "two hundred eleven billion, twenty million, three hundred eleven thousand, nineteen".

Divisors: 1 3 7 21 59 177 413 1239 170315021 510945063 1192205147 3576615441 10048586239 30145758717 70340103673 211020311019