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9000320032301 = 137313172396979
BaseRepresentation
bin1000001011111000110011…
…1000001101111000101101
31011212102101210000011010112
42002332030320031320231
52134430123412013201
631050405005545405
71616152215000113
oct202761470157055
934772353004115
109000320032301
112960018025134
1210143a4b75265
1350395a282810
142318913d1ab3
151091bb8460bb
hex82f8ce0de2d

9000320032301 has 16 divisors (see below), whose sum is σ = 9900431808960. Its totient is φ = 8131628568960.

The previous prime is 9000320032271. The next prime is 9000320032309. The reversal of 9000320032301 is 1032300230009.

9000320032301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9000320032301 - 210 = 9000320031277 is a prime.

It is a super-3 number, since 3×90003200323013 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9000320032309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36074171 + ... + 36322808.

It is an arithmetic number, because the mean of its divisors is an integer number (618776988060).

Almost surely, 29000320032301 is an apocalyptic number.

It is an amenable number.

9000320032301 is a deficient number, since it is larger than the sum of its proper divisors (900111776659).

9000320032301 is a wasteful number, since it uses less digits than its factorization.

9000320032301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72397196.

The product of its (nonzero) digits is 972, while the sum is 23.

The spelling of 9000320032301 in words is "nine trillion, three hundred twenty million, thirty-two thousand, three hundred one".

Divisors: 1 13 73 131 949 1703 9563 124319 72396979 941160727 5284979467 9484004249 68704733071 123292055237 692332310177 9000320032301