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2124032001 = 37138393739
BaseRepresentation
bin111111010011010…
…0010100000000001
312111000202000010220
41332212202200001
513322223011001
6550433213253
7103430655060
oct17646424001
95430660126
102124032001
1199aa62753
124b3401229
1327b083590
141621441d7
15c6712c36
hex7e9a2801

2124032001 has 32 divisors (see below), whose sum is σ = 3527623680. Its totient is φ = 1106858304.

The previous prime is 2124031993. The next prime is 2124032011. The reversal of 2124032001 is 1002304212.

It is not a de Polignac number, because 2124032001 - 23 = 2124031993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2124032011) 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 31 ways as a sum of consecutive naturals, for example, 24211 + ... + 69528.

It is an arithmetic number, because the mean of its divisors is an integer number (110238240).

Almost surely, 22124032001 is an apocalyptic number.

2124032001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2124032001 is a deficient number, since it is larger than the sum of its proper divisors (1403591679).

2124032001 is a wasteful number, since it uses less digits than its factorization.

2124032001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93845.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2124032001 is about 46087.2216671823. The cubic root of 2124032001 is about 1285.4455501494.

Adding to 2124032001 its reverse (1002304212), we get a palindrome (3126336213).

The spelling of 2124032001 in words is "two billion, one hundred twenty-four million, thirty-two thousand, one".

Divisors: 1 3 7 13 21 39 83 91 249 273 581 1079 1743 3237 7553 22659 93739 281217 656173 1218607 1968519 3655821 7780337 8530249 23341011 25590747 54462359 101144381 163387077 303433143 708010667 2124032001