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2141122003 = 23553116831
BaseRepresentation
bin111111110011110…
…1110110111010011
312112012220021012221
41333213232313103
513341111401003
6552243401511
7104026144126
oct17747566723
95465807187
102141122003
119a9675719
124b9083297
132817882c7
141645123bd
15c7e8b7bd
hex7f9eedd3

2141122003 has 8 divisors (see below), whose sum is σ = 2234750976. Its totient is φ = 2047537800.

The previous prime is 2141121991. The next prime is 2141122013. The reversal of 2141122003 is 3002211412.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2141122003 - 25 = 2141121971 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2141122013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118798 + ... + 135628.

It is an arithmetic number, because the mean of its divisors is an integer number (279343872).

Almost surely, 22141122003 is an apocalyptic number.

2141122003 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2141122003 is a deficient number, since it is larger than the sum of its proper divisors (93628973).

2141122003 is a wasteful number, since it uses less digits than its factorization.

2141122003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22385.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2141122003 is about 46272.2595406794. The cubic root of 2141122003 is about 1288.8839179871.

Adding to 2141122003 its reverse (3002211412), we get a palindrome (5143333415).

The spelling of 2141122003 in words is "two billion, one hundred forty-one million, one hundred twenty-two thousand, three".

Divisors: 1 23 5531 16831 127213 387113 93092261 2141122003