Search a number
-
+
2100221331 = 31353851829
BaseRepresentation
bin111110100101110…
…1101010110010011
312102100221022001020
41331023231112103
513300124040311
6544223010523
7103021405155
oct17513552623
95370838036
102100221331
1198857a40a
124a7439a43
13276167820
1415cd06ad5
15c45acc06
hex7d2ed593

2100221331 has 8 divisors (see below), whose sum is σ = 3015702480. Its totient is φ = 1292443872.

The previous prime is 2100221323. The next prime is 2100221339. The reversal of 2100221331 is 1331220012.

It is an interprime number because it is at equal distance from previous prime (2100221323) and next prime (2100221339).

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

It is not a de Polignac number, because 2100221331 - 23 = 2100221323 is a prime.

It is a super-2 number, since 2×21002213312 = 8821859278374823122, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2100221331.

It is not an unprimeable number, because it can be changed into a prime (2100221339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26925876 + ... + 26925953.

It is an arithmetic number, because the mean of its divisors is an integer number (376962810).

Almost surely, 22100221331 is an apocalyptic number.

2100221331 is a deficient number, since it is larger than the sum of its proper divisors (915481149).

2100221331 is a wasteful number, since it uses less digits than its factorization.

2100221331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53851845.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2100221331 is about 45828.1718051244. The cubic root of 2100221331 is about 1280.6241525923.

Adding to 2100221331 its reverse (1331220012), we get a palindrome (3431441343).

The spelling of 2100221331 in words is "two billion, one hundred million, two hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 13 39 53851829 161555487 700073777 2100221331