Search a number
-
+
2331311100 = 2235274310459
BaseRepresentation
bin1000101011110100…
…1111101111111100
320000110202212121120
42022331033233330
514233303423400
61023200030540
7111525550236
oct21275175774
96013685546
102331311100
11a96a67598
12550902450
132b1cb8b31
1418189d256
15d9a08ca0
hex8af4fbfc

2331311100 has 72 divisors (see below), whose sum is σ = 6754984320. Its totient is φ = 620786880.

The previous prime is 2331311089. The next prime is 2331311113. The reversal of 2331311100 is 11131332.

It is a super-2 number, since 2×23313111002 = 10870022889966420000, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2331311100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217671 + ... + 228129.

Almost surely, 22331311100 is an apocalyptic number.

2331311100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2331311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3377492160).

2331311100 is an abundant number, since it is smaller than the sum of its proper divisors (4423673220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2331311100 is a wasteful number, since it uses less digits than its factorization.

2331311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11219 (or 11212 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 2331311100 is about 48283.6525130401. The cubic root of 2331311100 is about 1325.9691213073.

Adding to 2331311100 its reverse (11131332), we get a palindrome (2342442432).

The spelling of 2331311100 in words is "two billion, three hundred thirty-one million, three hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 743 1486 2229 2972 3715 4458 7430 8916 10459 11145 14860 18575 20918 22290 31377 37150 41836 44580 52295 55725 62754 74300 104590 111450 125508 156885 209180 222900 261475 313770 522950 627540 784425 1045900 1568850 3137700 7771037 15542074 23313111 31084148 38855185 46626222 77710370 93252444 116565555 155420740 194275925 233131110 388551850 466262220 582827775 777103700 1165655550 2331311100