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2141002011 = 331121318979
BaseRepresentation
bin111111110011101…
…0001100100011011
312112012200011121210
41333213101210123
513341044031021
6552241034203
7104025134241
oct17747214433
95465604553
102141002011
119a95a3555
124b9025963
132817457c5
141644c0791
15c7e65e76
hex7f9d191b

2141002011 has 16 divisors (see below), whose sum is σ = 2949340160. Its totient is φ = 1380080160.

The previous prime is 2141002007. The next prime is 2141002013. The reversal of 2141002011 is 1102001412.

It is a happy number.

It is not a de Polignac number, because 2141002011 - 22 = 2141002007 is a prime.

It is a super-2 number, since 2×21410020112 = 9167779222212088242, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2141002013) 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, 103320 + ... + 122298.

It is an arithmetic number, because the mean of its divisors is an integer number (184333760).

Almost surely, 22141002011 is an apocalyptic number.

2141002011 is a deficient number, since it is larger than the sum of its proper divisors (808338149).

2141002011 is a wasteful number, since it uses less digits than its factorization.

2141002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20226.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2141002011 is about 46270.9629357332. The cubic root of 2141002011 is about 1288.8598404788.

Adding to 2141002011 its reverse (1102001412), we get a palindrome (3243003423).

The spelling of 2141002011 in words is "two billion, one hundred forty-one million, two thousand, eleven".

Divisors: 1 3 31 93 1213 3639 18979 37603 56937 112809 588349 1765047 23021527 69064581 713667337 2141002011