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2141888001 = 31199765101
BaseRepresentation
bin111111110101010…
…1001111000000001
312112021100011222020
41333222221320001
513341310404001
6552312032053
7104035514301
oct17752517001
95467304866
102141888001
119aa049180
124b9392629
13281995b66
14164671601
15c808d736
hex7faa9e01

2141888001 has 16 divisors (see below), whose sum is σ = 3118646208. Its totient is φ = 1296792000.

The previous prime is 2141887981. The next prime is 2141888009. The reversal of 2141888001 is 1008881412.

It is not a de Polignac number, because 2141888001 - 210 = 2141886977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2141888009) 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, 351 + ... + 65451.

It is an arithmetic number, because the mean of its divisors is an integer number (194915388).

Almost surely, 22141888001 is an apocalyptic number.

It is an amenable number.

2141888001 is a deficient number, since it is larger than the sum of its proper divisors (976758207).

2141888001 is a wasteful number, since it uses less digits than its factorization.

2141888001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66112.

The product of its (nonzero) digits is 4096, while the sum is 33.

The square root of 2141888001 is about 46280.5358763271. The cubic root of 2141888001 is about 1289.0376013971.

The spelling of 2141888001 in words is "two billion, one hundred forty-one million, eight hundred eighty-eight thousand, one".

Divisors: 1 3 11 33 997 2991 10967 32901 65101 195303 716111 2148333 64905697 194717091 713962667 2141888001