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20132001009 = 334767236783
BaseRepresentation
bin10010101111111101…
…011111010011110001
31220222000220121121000
4102233331133103301
5312212243013014
613125402352213
71311614120331
oct225775372361
956860817530
1020132001009
1185a0a9836a
123a9a1bb669
131b8ab44143
14d8da470c1
157cc642509
hex4aff5f4f1

20132001009 has 32 divisors (see below), whose sum is σ = 30914519040. Its totient is φ = 12939662736.

The previous prime is 20132000971. The next prime is 20132001023. The reversal of 20132001009 is 90010023102.

It is a happy number.

It is not a de Polignac number, because 20132001009 - 213 = 20131992817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20132000982 and 20132001000.

It is not an unprimeable number, because it can be changed into a prime (20132001089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33369 + ... + 203414.

It is an arithmetic number, because the mean of its divisors is an integer number (966078720).

Almost surely, 220132001009 is an apocalyptic number.

It is an amenable number.

20132001009 is a deficient number, since it is larger than the sum of its proper divisors (10782518031).

20132001009 is a wasteful number, since it uses less digits than its factorization.

20132001009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236906 (or 236900 counting only the distinct ones).

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

The spelling of 20132001009 in words is "twenty billion, one hundred thirty-two million, one thousand, nine".

Divisors: 1 3 9 27 47 67 141 201 423 603 1269 1809 3149 9447 28341 85023 236783 710349 2131047 6393141 11128801 15864461 33386403 47593383 100159209 142780149 300477627 428340447 745629667 2236889001 6710667003 20132001009