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201332131033023 = 32311330954220493
BaseRepresentation
bin101101110001110001001010…
…001001101110111110111111
3222101212011102101012002220200
4231301301022021232332333
5202342111201021024043
61552110412032414543
760256523615262264
oct5561611211567677
9871764371162820
10201332131033023
1159172528283191
121a6b76233a7453
1388457000b34a3
1437a075466126b
15184219dc357d3
hexb71c4a26efbf

201332131033023 has 24 divisors (see below), whose sum is σ = 300216706458240. Its totient is φ = 129881935356480.

The previous prime is 201332131032979. The next prime is 201332131033037. The reversal of 201332131033023 is 320330131233102.

201332131033023 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 321 + 3 + 1 + 0 + 330 + 2 + 3 = 666.

It is not a de Polignac number, because 201332131033023 - 26 = 201332131032959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201332131033093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23397036 + ... + 30823457.

It is an arithmetic number, because the mean of its divisors is an integer number (12509029435760).

Almost surely, 2201332131033023 is an apocalyptic number.

201332131033023 is a deficient number, since it is larger than the sum of its proper divisors (98884575425217).

201332131033023 is a wasteful number, since it uses less digits than its factorization.

201332131033023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54233839 (or 54233836 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 201332131033023 its reverse (320330131233102), we get a palindrome (521662262266125).

The spelling of 201332131033023 in words is "two hundred one trillion, three hundred thirty-two billion, one hundred thirty-one million, thirty-three thousand, twenty-three".

Divisors: 1 3 9 31 93 279 13309 39927 119781 412579 1237737 3713211 54220493 162661479 487984437 1680835283 5042505849 15127517547 721620541337 2164861624011 6494584872033 22370236781447 67110710344341 201332131033023