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111211002000 = 24335372391231
BaseRepresentation
bin110011110010010110…
…0010011100010010000
3101122001111010020211000
41213210230103202100
53310230004031000
6123031205422000
711014624630350
oct1474454234220
9348044106730
10111211002000
114318979090a
121967840a900
13a644374037
14554dd78b60
152d5d5a8000
hex19e4b13890

111211002000 has 640 divisors, whose sum is σ = 457570713600. Its totient is φ = 25292736000.

The previous prime is 111211001933. The next prime is 111211002059. The reversal of 111211002000 is 200112111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90341385 + ... + 90342615.

It is an arithmetic number, because the mean of its divisors is an integer number (714954240).

Almost surely, 2111211002000 is an apocalyptic number.

111211002000 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 111211002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228785356800).

111211002000 is an abundant number, since it is smaller than the sum of its proper divisors (346359711600).

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

111211002000 is a wasteful number, since it uses less digits than its factorization.

111211002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 111211002000 its reverse (200112111), we get a palindrome (111411114111).

The spelling of 111211002000 in words is "one hundred eleven billion, two hundred eleven million, two thousand".