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2100440321 = 72172521537
BaseRepresentation
bin111110100110010…
…0010110100000001
312102101100102102222
41331030202310001
513300203042241
6544231420425
7103023306500
oct17514426401
95371312388
102100440321
119887099a1
124a7524715
132762133c5
1415cd62837
15c4602a4b
hex7d322d01

2100440321 has 12 divisors (see below), whose sum is σ = 2587097988. Its totient is φ = 1694472192.

The previous prime is 2100440311. The next prime is 2100440347. The reversal of 2100440321 is 1230440012.

It can be written as a sum of positive squares in 2 ways, for example, as 926350096 + 1174090225 = 30436^2 + 34265^2 .

It is not a de Polignac number, because 2100440321 - 26 = 2100440257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2100440321.

It is not an unprimeable number, because it can be changed into a prime (2100440311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1259936 + ... + 1261601.

It is an arithmetic number, because the mean of its divisors is an integer number (215591499).

Almost surely, 22100440321 is an apocalyptic number.

It is an amenable number.

2100440321 is a deficient number, since it is larger than the sum of its proper divisors (486657667).

2100440321 is a wasteful number, since it uses less digits than its factorization.

2100440321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2521568 (or 2521561 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2100440321 is about 45830.5609937299. The cubic root of 2100440321 is about 1280.6686612563.

Adding to 2100440321 its reverse (1230440012), we get a palindrome (3330880333).

The spelling of 2100440321 in words is "two billion, one hundred million, four hundred forty thousand, three hundred twenty-one".

Divisors: 1 7 17 49 119 833 2521537 17650759 42866129 123555313 300062903 2100440321