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2011343022 = 233132433509
BaseRepresentation
bin111011111100010…
…1010100010101110
312012011200210221000
41313320222202232
513104400434042
6531330021130
7100562063553
oct16770524256
95164623830
102011343022
11942394867
124817177a6
13260919300
141511aca2a
15bb8a374c
hex77e2a8ae

2011343022 has 96 divisors (see below), whose sum is σ = 4860626400. Its totient is φ = 616232448.

The previous prime is 2011342973. The next prime is 2011343039. The reversal of 2011343022 is 2203431102.

2011343022 is a `hidden beast` number, since 201 + 13 + 430 + 22 = 666.

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 = 2011342986 and 2011343004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3951304 + ... + 3951812.

It is an arithmetic number, because the mean of its divisors is an integer number (50631525).

Almost surely, 22011343022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011343022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430313200).

2011343022 is an abundant number, since it is smaller than the sum of its proper divisors (2849283378).

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

2011343022 is a wasteful number, since it uses less digits than its factorization.

2011343022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2011343022 is about 44847.9990858009. Note that the first 3 decimals coincide. The cubic root of 2011343022 is about 1262.2984464311.

Adding to 2011343022 its reverse (2203431102), we get a palindrome (4214774124).

The spelling of 2011343022 in words is "two billion, eleven million, three hundred forty-three thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 338 351 433 507 509 702 866 1014 1018 1299 1521 1527 2598 3042 3054 3897 4563 4581 5629 6617 7794 9126 9162 11258 11691 13234 13743 16887 19851 23382 27486 33774 39702 50661 59553 73177 86021 101322 119106 146354 151983 172042 178659 219531 220397 258063 303966 357318 439062 440794 516126 658593 661191 774189 1317186 1322382 1548378 1975779 1983573 2322567 2865161 3951558 3967146 4645134 5730322 5950719 8595483 11901438 17190966 25786449 37247093 51572898 74494186 77359347 111741279 154718694 223482558 335223837 670447674 1005671511 2011343022