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2131305 = 351112917
BaseRepresentation
bin1000001000010101101001
311000021121020
420020111221
51021200210
6113403053
724054501
oct10102551
94007536
102131305
111226310
12869489
13598137
143d6a01
152c1770
hex208569

2131305 has 16 divisors (see below), whose sum is σ = 3720384. Its totient is φ = 1033280.

The previous prime is 2131291. The next prime is 2131319. The reversal of 2131305 is 5031312.

2131305 = T285 + T286 + ... + T329.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2131291) and next prime (2131319).

It is not a de Polignac number, because 2131305 - 28 = 2131049 is a prime.

It is a super-2 number, since 2×21313052 = 9084922006050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6294 + ... + 6623.

It is an arithmetic number, because the mean of its divisors is an integer number (232524).

22131305 is an apocalyptic number.

It is an amenable number.

2131305 is a deficient number, since it is larger than the sum of its proper divisors (1589079).

2131305 is a wasteful number, since it uses less digits than its factorization.

2131305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12936.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 2131305 is about 1459.8989691071. The cubic root of 2131305 is about 128.6911063791.

Adding to 2131305 its reverse (5031312), we get a palindrome (7162617).

The spelling of 2131305 in words is "two million, one hundred thirty-one thousand, three hundred five".

Divisors: 1 3 5 11 15 33 55 165 12917 38751 64585 142087 193755 426261 710435 2131305