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201001311301032 = 2332112431393860093
BaseRepresentation
bin101101101100111101000011…
…110000100110110110101000
3222100200112111222111110220100
4231230331003300212312220
5202321201141143113112
61551254421101425400
760223602605042604
oct5554750360466650
9870615458443810
10201001311301032
11590551a5155100
121a66349856b260
13882045b11b498
14378c730290504
15183878a9c92dc
hexb6cf43c26da8

201001311301032 has 288 divisors, whose sum is σ = 616687073402400. Its totient is φ = 59064966132480.

The previous prime is 201001311301013. The next prime is 201001311301039. The reversal of 201001311301032 is 230103113100102.

201001311301032 is a `hidden beast` number, since 20 + 1 + 0 + 0 + 1 + 311 + 301 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201001311300996 and 201001311301014.

It is not an unprimeable number, because it can be changed into a prime (201001311301039) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50141578 + ... + 54001670.

It is an arithmetic number, because the mean of its divisors is an integer number (2141274560425).

Almost surely, 2201001311301032 is an apocalyptic number.

201001311301032 is a gapful number since it is divisible by the number (22) 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 201001311301032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308343536701200).

201001311301032 is an abundant number, since it is smaller than the sum of its proper divisors (415685762101368).

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

201001311301032 is a wasteful number, since it uses less digits than its factorization.

201001311301032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3860309 (or 3860291 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 201001311301032 its reverse (230103113100102), we get a palindrome (431104424401134).

The spelling of 201001311301032 in words is "two hundred one trillion, one billion, three hundred eleven million, three hundred one thousand, thirty-two".