Search a number
-
+
2124014009 = 131919743651
BaseRepresentation
bin111111010011001…
…1110000110111001
312111000201002110112
41332212132012321
513322221422014
6550432554105
7103430551445
oct17646360671
95430632415
102124014009
1199aa50187
124b33b2935
1327b078330
1416213b825
15c670c73e
hex7e99e1b9

2124014009 has 16 divisors (see below), whose sum is σ = 2420066880. Its totient is φ = 1847966400.

The previous prime is 2124013973. The next prime is 2124014021. The reversal of 2124014009 is 9004104212.

It is a cyclic number.

It is not a de Polignac number, because 2124014009 - 212 = 2124009913 is a prime.

It is a super-2 number, since 2×21240140092 = 9022871020856504162, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2124014069) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26834 + ... + 70484.

It is an arithmetic number, because the mean of its divisors is an integer number (151254180).

Almost surely, 22124014009 is an apocalyptic number.

It is an amenable number.

2124014009 is a deficient number, since it is larger than the sum of its proper divisors (296052871).

2124014009 is a wasteful number, since it uses less digits than its factorization.

2124014009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43880.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 2124014009 is about 46087.0264716655. The cubic root of 2124014009 is about 1285.4419206056.

The spelling of 2124014009 in words is "two billion, one hundred twenty-four million, fourteen thousand, nine".

Divisors: 1 13 19 197 247 2561 3743 43651 48659 567463 829369 8599247 10781797 111790211 163385693 2124014009