Search a number
-
+
9020430201312 = 2533101409252737
BaseRepresentation
bin1000001101000011101110…
…0010011011000111100000
31011221100022021211120212000
42003100323202123013200
52140242320112420222
631103532312404000
71620463445421345
oct203207342330740
934840267746760
109020430201312
1129685a7760822
1210182779a6600
135058137216ca
1423283c1947cc
151099970c49ac
hex8343b89b1e0

9020430201312 has 192 divisors, whose sum is σ = 26635147963200. Its totient is φ = 2969749094400.

The previous prime is 9020430201253. The next prime is 9020430201313. The reversal of 9020430201312 is 2131020340209.

It is a happy number.

9020430201312 is a `hidden beast` number, since 9 + 0 + 20 + 430 + 201 + 3 + 1 + 2 = 666.

It is a super-2 number, since 2×90204302013122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9020430201313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35564608 + ... + 35817344.

It is an arithmetic number, because the mean of its divisors is an integer number (138724728975).

Almost surely, 29020430201312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9020430201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13317573981600).

9020430201312 is an abundant number, since it is smaller than the sum of its proper divisors (17614717761888).

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

9020430201312 is a wasteful number, since it uses less digits than its factorization.

9020430201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253266 (or 253252 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 9020430201312 in words is "nine trillion, twenty billion, four hundred thirty million, two hundred one thousand, three hundred twelve".