Search a number
-
+
2100375041 = 17373339229
BaseRepresentation
bin111110100110001…
…0010111000000001
312102101020002220012
41331030102320001
513300144000131
6544230154305
7103022615252
oct17514227001
95371202805
102100375041
11988674946
124a74b2995
132761bc78b
1415cd46b29
15c45dd52b
hex7d312e01

2100375041 has 8 divisors (see below), whose sum is σ = 2284033320. Its totient is φ = 1923395328.

The previous prime is 2100375029. The next prime is 2100375059. The reversal of 2100375041 is 1405730012.

It can be written as a sum of positive squares in 4 ways, for example, as 722480641 + 1377894400 = 26879^2 + 37120^2 .

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 2100375041 - 26 = 2100374977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100374998 and 2100375016.

It is not an unprimeable number, because it can be changed into a prime (2100375061) 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, 1668986 + ... + 1670243.

It is an arithmetic number, because the mean of its divisors is an integer number (285504165).

Almost surely, 22100375041 is an apocalyptic number.

It is an amenable number.

2100375041 is a deficient number, since it is larger than the sum of its proper divisors (183658279).

2100375041 is a wasteful number, since it uses less digits than its factorization.

2100375041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3339283.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 2100375041 is about 45829.8487996633. The cubic root of 2100375041 is about 1280.6553937340.

The spelling of 2100375041 in words is "two billion, one hundred million, three hundred seventy-five thousand, forty-one".

Divisors: 1 17 37 629 3339229 56766893 123551473 2100375041