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2124022021 = 1121011511151
BaseRepresentation
bin111111010011010…
…0000000100000101
312111000201111110021
41332212200010011
513322222201041
6550433055141
7103430614012
oct17646400405
95430644407
102124022021
1199aa56200
124b33b74b1
1327b07bb84
14162140709
15c670ecd1
hex7e9a0105

2124022021 has 24 divisors (see below), whose sum is σ = 2375460864. Its totient is φ = 1897500000.

The previous prime is 2124022001. The next prime is 2124022039. The reversal of 2124022021 is 1202204212.

It is a de Polignac number, because none of the positive numbers 2k-2124022021 is a prime.

It is a super-2 number, since 2×21240220212 = 9022939091385848882, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2124021986 and 2124022004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124022001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1844796 + ... + 1845946.

It is an arithmetic number, because the mean of its divisors is an integer number (98977536).

Almost surely, 22124022021 is an apocalyptic number.

It is an amenable number.

2124022021 is a deficient number, since it is larger than the sum of its proper divisors (251438843).

2124022021 is a wasteful number, since it uses less digits than its factorization.

2124022021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2124022021 is about 46087.1133940931. The cubic root of 2124022021 is about 1285.4435368768.

Adding to 2124022021 its reverse (1202204212), we get a palindrome (3326226233).

It can be divided in two parts, 21 and 24022021, that added together give a palindrome (24022042).

The spelling of 2124022021 in words is "two billion, one hundred twenty-four million, twenty-two thousand, twenty-one".

Divisors: 1 11 101 121 151 1111 1151 1661 12221 12661 15251 18271 116251 139271 167761 173801 1278761 1845371 1911811 14066371 17553901 21029921 193092911 2124022021