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211020311034 = 23213901796201
BaseRepresentation
bin1100010010000111001…
…0100110100111111010
3202011200100221111020100
43010201302212213322
511424132144423114
6240535201340230
721150165022461
oct3044162464772
9664610844210
10211020311034
1181547511a75
1234a92337676
1316b8c508690
14a2db95b9d8
155750bc6909
hex3121ca69fa

211020311034 has 24 divisors (see below), whose sum is σ = 492380726292. Its totient is φ = 64929326400.

The previous prime is 211020311023. The next prime is 211020311057. The reversal of 211020311034 is 430113020112.

211020311034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 210678246009 + 342065025 = 458997^2 + 18495^2 .

It is a super-2 number, since 2×2110203110342 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211020310998 and 211020311016.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 450897867 + ... + 450898334.

Almost surely, 2211020311034 is an apocalyptic number.

211020311034 is an abundant number, since it is smaller than the sum of its proper divisors (281360415258).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211020311034 is a wasteful number, since it uses less digits than its factorization.

211020311034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901796222 (or 901796219 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211020311034 its reverse (430113020112), we get a palindrome (641133331146).

The spelling of 211020311034 in words is "two hundred eleven billion, twenty million, three hundred eleven thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 901796201 1803592402 2705388603 5410777206 8116165809 11723350613 16232331618 23446701226 35170051839 70340103678 105510155517 211020311034