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201120000 = 28354419
BaseRepresentation
bin10111111110011…
…01100100000000
3112000102221202220
423333031210000
5402441320000
631542411040
74661330454
oct1377154400
9460387686
10201120000
11a3588484
1257430a80
133288a023
141c9d4664
15129cb1a0
hexbfcd900

201120000 has 180 divisors, whose sum is σ = 670472880. Its totient is φ = 53504000.

The previous prime is 201119969. The next prime is 201120041. The reversal of 201120000 is 21102.

It is a happy number.

201120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

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 19 ways as a sum of consecutive naturals, for example, 479791 + ... + 480209.

Almost surely, 2201120000 is an apocalyptic number.

201120000 is a gapful number since it is divisible by the number (20) 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 201120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335236440).

201120000 is an abundant number, since it is smaller than the sum of its proper divisors (469352880).

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

201120000 is an frugal number, since it uses more digits than its factorization.

201120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 201120000 is about 14181.6783209887. The cubic root of 201120000 is about 585.8931495320.

Adding to 201120000 its reverse (21102), we get a palindrome (201141102).

The spelling of 201120000 in words is "two hundred one million, one hundred twenty thousand".