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2123331 = 37101111
BaseRepresentation
bin1000000110011001000011
310222212122220
420012121003
51020421311
6113302123
724022320
oct10063103
93885586
102123331
111220321
12864943
13594612
143d3b47
152be206
hex206643

2123331 has 8 divisors (see below), whose sum is σ = 3235584. Its totient is φ = 1213320.

The previous prime is 2123327. The next prime is 2123353. The reversal of 2123331 is 1333212.

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

It is not a de Polignac number, because 2123331 - 22 = 2123327 is a prime.

It is a super-3 number, since 3×21233313 = 28719333431781821073, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

2123331 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2123331.

It is not an unprimeable number, because it can be changed into a prime (2123731) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50535 + ... + 50576.

It is an arithmetic number, because the mean of its divisors is an integer number (404448).

22123331 is an apocalyptic number.

2123331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2123331 is a deficient number, since it is larger than the sum of its proper divisors (1112253).

2123331 is a wasteful number, since it uses less digits than its factorization.

2123331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101121.

The product of its digits is 108, while the sum is 15.

The square root of 2123331 is about 1457.1653989853. The cubic root of 2123331 is about 128.5304121369.

Adding to 2123331 its reverse (1333212), we get a palindrome (3456543).

The spelling of 2123331 in words is "two million, one hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 3 7 21 101111 303333 707777 2123331