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42333431301 = 337792835271
BaseRepresentation
bin100111011011010001…
…001110011000000101
311001021021211010111000
4213123101032120011
51143144324300201
631240412203513
73026030141340
oct473321163005
9131237733430
1042333431301
1116a54133567
128255469599
133cb8631445
14209845d457
15117b7add86
hex9db44e605

42333431301 has 32 divisors (see below), whose sum is σ = 72582963200. Its totient is φ = 23884314480.

The previous prime is 42333431293. The next prime is 42333431347. The reversal of 42333431301 is 10313433324.

42333431301 is a `hidden beast` number, since 4 + 23 + 334 + 3 + 1 + 301 = 666.

It is not a de Polignac number, because 42333431301 - 23 = 42333431293 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42333431401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1402705 + ... + 1432566.

It is an arithmetic number, because the mean of its divisors is an integer number (2268217600).

Almost surely, 242333431301 is an apocalyptic number.

It is an amenable number.

42333431301 is a deficient number, since it is larger than the sum of its proper divisors (30249531899).

42333431301 is a wasteful number, since it uses less digits than its factorization.

42333431301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835366 (or 2835360 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 42333431301 its reverse (10313433324), we get a palindrome (52646864625).

The spelling of 42333431301 in words is "forty-two billion, three hundred thirty-three million, four hundred thirty-one thousand, three hundred one".

Divisors: 1 3 7 9 21 27 63 79 189 237 553 711 1659 2133 4977 14931 2835271 8505813 19846897 25517439 59540691 76552317 178622073 223986409 535866219 671959227 1567904863 2015877681 4703714589 6047633043 14111143767 42333431301