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2124114001 = 61792112089
BaseRepresentation
bin111111010011011…
…0110100001010001
312111000220011121221
41332212312201101
513322233122001
6550435045041
7103431446122
oct17646664121
95430804557
102124114001
119a0009319
124b3440781
1327b0b19b9
14162166049
15c672c1a1
hex7e9b6851

2124114001 has 16 divisors (see below), whose sum is σ = 2197676800. Its totient is φ = 2052086400.

The previous prime is 2124113969. The next prime is 2124114023. The reversal of 2124114001 is 1004114212.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2124114001 - 25 = 2124113969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2124114071) 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 15 ways as a sum of consecutive naturals, for example, 1015765 + ... + 1017853.

It is an arithmetic number, because the mean of its divisors is an integer number (137354800).

Almost surely, 22124114001 is an apocalyptic number.

It is an amenable number.

2124114001 is a deficient number, since it is larger than the sum of its proper divisors (73562799).

2124114001 is a wasteful number, since it uses less digits than its factorization.

2124114001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440.

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 2124114001 is about 46088.1112761198. Note that the first 3 decimals coincide. The cubic root of 2124114001 is about 1285.4620918303.

Adding to 2124114001 its reverse (1004114212), we get a palindrome (3128228213).

The spelling of 2124114001 in words is "two billion, one hundred twenty-four million, one hundred fourteen thousand, one".

Divisors: 1 61 79 211 2089 4819 12871 16669 127429 165031 440779 1016809 10066891 26887519 34821541 2124114001