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2113440021 = 3272111912281
BaseRepresentation
bin111110111111000…
…1000100100010101
312110021210212200100
41331332020210111
513312020040041
6545414204313
7103241641500
oct17576104425
95407725610
102113440021
11994a88850
124ab953699
13278b15434
14160988137
15c581e6b6
hex7df88915

2113440021 has 72 divisors (see below), whose sum is σ = 3895976448. Its totient is φ = 1091664000.

The previous prime is 2113440011. The next prime is 2113440041. The reversal of 2113440021 is 1200443112.

2113440021 is a `hidden beast` number, since 211 + 34 + 400 + 21 = 666.

It is not a de Polignac number, because 2113440021 - 29 = 2113439509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2113439976 and 2113440003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113440001) 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 71 ways as a sum of consecutive naturals, for example, 925401 + ... + 927681.

It is an arithmetic number, because the mean of its divisors is an integer number (54110784).

Almost surely, 22113440021 is an apocalyptic number.

2113440021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2113440021 is a deficient number, since it is larger than the sum of its proper divisors (1782536427).

2113440021 is a wasteful number, since it uses less digits than its factorization.

2113440021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2113440021 is about 45972.1657201398. The cubic root of 2113440021 is about 1283.3052640325.

Adding to 2113440021 its reverse (1200443112), we get a palindrome (3313883133).

The spelling of 2113440021 in words is "two billion, one hundred thirteen million, four hundred forty thousand, twenty-one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 191 231 441 539 573 693 1337 1617 1719 2101 2281 4011 4851 6303 6843 9359 12033 14707 15967 18909 20529 25091 28077 44121 47901 75273 84231 102949 111769 132363 143703 175637 225819 308847 335307 435671 526911 926541 1005921 1229459 1307013 1580733 3049697 3688377 3921039 4792381 9149091 11065131 14377143 21347879 27447273 33546667 43131429 64043637 100640001 192130911 234826669 301920003 704480007 2113440021