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11131420300 = 225271113611823
BaseRepresentation
bin10100101110111101…
…11111111010001100
31001201202201201222221
422113132333322030
5140244120422200
65040320545124
7542563340260
oct122736777214
931652651887
1011131420300
1147a243a910
1221a7a821a4
13108521c740
147785200a0
1545239d91a
hex2977bfe8c

11131420300 has 288 divisors, whose sum is σ = 32981889024. Its totient is φ = 3148416000.

The previous prime is 11131420273. The next prime is 11131420303. The reversal of 11131420300 is 302413111.

It is a super-3 number, since 3×111314203003 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11131420303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6105189 + ... + 6107011.

It is an arithmetic number, because the mean of its divisors is an integer number (114520448).

Almost surely, 211131420300 is an apocalyptic number.

11131420300 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 11131420300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16490944512).

11131420300 is an abundant number, since it is smaller than the sum of its proper divisors (21850468724).

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

11131420300 is a wasteful number, since it uses less digits than its factorization.

11131420300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11131420300 its reverse (302413111), we get a palindrome (11433833411).

The spelling of 11131420300 in words is "eleven billion, one hundred thirty-one million, four hundred twenty thousand, three hundred".