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201201000 = 233537111367
BaseRepresentation
bin10111111111000…
…01010101101000
3112000121001212220
423333201111220
5403001413000
631544234040
74662115560
oct1377412550
9460531786
10201201000
11a3633320
125746b920
13328b7b60
141ca15da0
15129e51a0
hexbfe1568

201201000 has 512 divisors, whose sum is σ = 855429120. Its totient is φ = 38016000.

The previous prime is 201200957. The next prime is 201201023. The reversal of 201201000 is 102102.

It is a happy number.

201201000 is digitally balanced in base 3, 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 a self number, because there is not a number n which added to its sum of digits gives 201201000.

It is a congruent number.

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, 3002967 + ... + 3003033.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 2201201000 is an apocalyptic number.

201201000 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 201201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427714560).

201201000 is an abundant number, since it is smaller than the sum of its proper divisors (654228120).

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

201201000 is a wasteful number, since it uses less digits than its factorization.

201201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 108 counting only the distinct ones).

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

The square root of 201201000 is about 14184.5338309019. The cubic root of 201201000 is about 585.9717940817.

Adding to 201201000 its reverse (102102), we get a palindrome (201303102).

The spelling of 201201000 in words is "two hundred one million, two hundred one thousand".