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201011232000 = 283533756591
BaseRepresentation
bin1011101100110100110…
…0111111110100000000
3201012211211002121000110
42323031030333310000
511243132333411000
6232202052151320
720344150165155
oct2731514776400
9635754077013
10201011232000
1178280666827
1232b5a308540
1315c5598c8c7
149a2c51422c
155367123850
hex2ecd33fd00

201011232000 has 288 divisors, whose sum is σ = 685715756544. Its totient is φ = 52153344000.

The previous prime is 201011231983. The next prime is 201011232029. The reversal of 201011232000 is 232110102.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 3523705 + ... + 3580295.

It is an arithmetic number, because the mean of its divisors is an integer number (2380957488).

Almost surely, 2201011232000 is an apocalyptic number.

201011232000 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 201011232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342857878272).

201011232000 is an abundant number, since it is smaller than the sum of its proper divisors (484704524544).

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

201011232000 is an equidigital number, since it uses as much as digits as its factorization.

201011232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56662 (or 56638 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 201011232000 its reverse (232110102), we get a palindrome (201243342102).

The spelling of 201011232000 in words is "two hundred one billion, eleven million, two hundred thirty-two thousand".