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11320313400 = 233252113118443
BaseRepresentation
bin10101000101011111…
…00100011000111000
31002012221011111121200
422202233210120320
5141141000012100
65111145334200
7550346035104
oct124257443070
932187144550
1011320313400
11488a027010
12223b197360
1310b53b83c6
14795650904
15463c61e00
hex2a2be4638

11320313400 has 288 divisors, whose sum is σ = 42813688320. Its totient is φ = 2655648000.

The previous prime is 11320313393. The next prime is 11320313441. The reversal of 11320313400 is 431302311.

11320313400 is a `hidden beast` number, since 1 + 1 + 320 + 3 + 1 + 340 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 604579 + ... + 623021.

It is an arithmetic number, because the mean of its divisors is an integer number (148658640).

Almost surely, 211320313400 is an apocalyptic number.

11320313400 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 11320313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21406844160).

11320313400 is an abundant number, since it is smaller than the sum of its proper divisors (31493374920).

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

11320313400 is a wasteful number, since it uses less digits than its factorization.

11320313400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18507 (or 18495 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11320313400 its reverse (431302311), we get a palindrome (11751615711).

The spelling of 11320313400 in words is "eleven billion, three hundred twenty million, three hundred thirteen thousand, four hundred".