Search a number
-
+
21305541201 = 372203146051
BaseRepresentation
bin10011110101111010…
…001100001001010001
32000222211010122002120
4103311322030021101
5322113204304301
613442043404453
71352654053320
oct236572141121
960884118076
1021305541201
11904347149a
124167223729
132017002b19
14106184a0b7
1584a6a2e36
hex4f5e8c251

21305541201 has 16 divisors (see below), whose sum is σ = 32467765248. Its totient is φ = 12173778000.

The previous prime is 21305541181. The next prime is 21305541221. The reversal of 21305541201 is 10214550312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21305541181) and next prime (21305541221).

It is not a de Polignac number, because 21305541201 - 29 = 21305540689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21305541221) 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, 439626 + ... + 485676.

It is an arithmetic number, because the mean of its divisors is an integer number (2029235328).

Almost surely, 221305541201 is an apocalyptic number.

21305541201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21305541201 is a deficient number, since it is larger than the sum of its proper divisors (11162224047).

21305541201 is a wasteful number, since it uses less digits than its factorization.

21305541201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68092.

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 21305541201 in words is "twenty-one billion, three hundred five million, five hundred forty-one thousand, two hundred one".

Divisors: 1 3 7 21 22031 46051 66093 138153 154217 322357 462651 967071 1014549581 3043648743 7101847067 21305541201