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2124221121 = 3211113317599
BaseRepresentation
bin111111010011101…
…0000101011000001
312111001002121120100
41332213100223001
513322300033441
6550441233013
7103432403331
oct17647205301
95431077510
102124221121
119a0081850
124b3492769
1327b11b699
141621930c1
15c674dcb6
hex7e9d0ac1

2124221121 has 48 divisors (see below), whose sum is σ = 3393187200. Its totient is φ = 1269864960.

The previous prime is 2124221119. The next prime is 2124221167. The reversal of 2124221121 is 1211224212.

2124221121 is a `hidden beast` number, since 212 + 422 + 11 + 21 = 666.

2124221121 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2124221121 - 21 = 2124221119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2124221094 and 2124221103.

It is not an unprimeable number, because it can be changed into a prime (2124226121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3545980 + ... + 3546578.

It is an arithmetic number, because the mean of its divisors is an integer number (70691400).

Almost surely, 22124221121 is an apocalyptic number.

It is an amenable number.

2124221121 is a deficient number, since it is larger than the sum of its proper divisors (1268966079).

2124221121 is a wasteful number, since it uses less digits than its factorization.

2124221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1043 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 2124221121 is about 46089.2733832939. The cubic root of 2124221121 is about 1285.4837002726.

Adding to 2124221121 its reverse (1211224212), we get a palindrome (3335445333).

The spelling of 2124221121 in words is "two billion, one hundred twenty-four million, two hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 113 317 339 599 951 1017 1243 1797 2853 3487 3729 5391 6589 10461 11187 19767 31383 35821 59301 67687 107463 189883 203061 322389 394031 569649 609183 744557 1182093 1708947 2088713 2233671 3546279 6266139 6701013 18798417 21456779 64370337 193111011 236024569 708073707 2124221121