Search a number
-
+
1100213142 = 2372332153
BaseRepresentation
bin100000110010011…
…1110101110010110
32211200020121200220
41001210332232112
54223123310032
6301101215210
736156441330
oct10144765626
92750217626
101100213142
11515050466
12268561506
13146c269c2
14a6196450
15668c912c
hex4193eb96

1100213142 has 64 divisors (see below), whose sum is σ = 2630292480. Its totient is φ = 300539712.

The previous prime is 1100213131. The next prime is 1100213159. The reversal of 1100213142 is 2413120011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 509938 + ... + 512090.

It is an arithmetic number, because the mean of its divisors is an integer number (41098320).

Almost surely, 21100213142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100213142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315146240).

1100213142 is an abundant number, since it is smaller than the sum of its proper divisors (1530079338).

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

1100213142 is an equidigital number, since it uses as much as digits as its factorization.

1100213142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1100213142 is about 33169.4609844658. The cubic root of 1100213142 is about 1032.3467845591.

Adding to 1100213142 its reverse (2413120011), we get a palindrome (3513333153).

The spelling of 1100213142 in words is "one billion, one hundred million, two hundred thirteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 529 966 1058 1587 2153 3174 3703 4306 6459 7406 11109 12167 12918 15071 22218 24334 30142 36501 45213 49519 73002 85169 90426 99038 148557 170338 255507 297114 346633 511014 693266 1039899 1138937 2079798 2277874 3416811 6833622 7972559 15945118 23917677 26195551 47835354 52391102 78586653 157173306 183368857 366737714 550106571 1100213142