Search a number
-
+
11313212000 = 255341101683
BaseRepresentation
bin10101000100101000…
…11110101001100000
31002012102210201022212
422202110132221200
5141132140241000
65110333221252
7550231500236
oct124224365140
932172721285
1011313212000
114886016692
122238931828
1310b3a9ccac
14794722956
1546330cc35
hex2a251ea60

11313212000 has 192 divisors, whose sum is σ = 28798555968. Its totient is φ = 4364800000.

The previous prime is 11313211991. The next prime is 11313212023. The reversal of 11313212000 is 21231311.

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, 16563659 + ... + 16564341.

It is an arithmetic number, because the mean of its divisors is an integer number (149992479).

Almost surely, 211313212000 is an apocalyptic number.

11313212000 is a gapful number since it is divisible by the number (10) 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 11313212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14399277984).

11313212000 is an abundant number, since it is smaller than the sum of its proper divisors (17485343968).

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

11313212000 is a wasteful number, since it uses less digits than its factorization.

11313212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 11313212000 its reverse (21231311), we get a palindrome (11334443311).

The spelling of 11313212000 in words is "eleven billion, three hundred thirteen million, two hundred twelve thousand".