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2141000323 = 711101275299
BaseRepresentation
bin111111110011101…
…0001001010000011
312112012200002022021
41333213101022003
513341044002243
6552241022311
7104025126310
oct17747211203
95465602267
102141000323
119a95a2260
124b9024997
13281744ac7
141644bdd07
15c7e656ed
hex7f9d1283

2141000323 has 16 divisors (see below), whose sum is σ = 2695737600. Its totient is φ = 1651788000.

The previous prime is 2141000317. The next prime is 2141000327. The reversal of 2141000323 is 3230001412.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2141000323 - 225 = 2107445891 is a prime.

It is a super-2 number, since 2×21410003232 = 9167764766172208658, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2141000297 and 2141000306.

It is not an unprimeable number, because it can be changed into a prime (2141000327) 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, 129873 + ... + 145426.

It is an arithmetic number, because the mean of its divisors is an integer number (168483600).

Almost surely, 22141000323 is an apocalyptic number.

2141000323 is a deficient number, since it is larger than the sum of its proper divisors (554737277).

2141000323 is a wasteful number, since it uses less digits than its factorization.

2141000323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275418.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2141000323 is about 46270.9446953485. The cubic root of 2141000323 is about 1288.8595017596.

Adding to 2141000323 its reverse (3230001412), we get a palindrome (5371001735).

The spelling of 2141000323 in words is "two billion, one hundred forty-one million, three hundred twenty-three", and thus it is an aban number.

Divisors: 1 7 11 77 101 707 1111 7777 275299 1927093 3028289 21198023 27805199 194636393 305857189 2141000323