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10003011213 = 3132312319059
BaseRepresentation
bin10010101000011100…
…11101011010001101
3221211010102121201210
421110032131122031
5130441232324323
64332331125033
7502612122666
oct112416353215
927733377653
1010003011213
114273491418
121b31ba3779
13c35502c60
146ac70836d
153d82a5293
hex25439d68d

10003011213 has 32 divisors (see below), whose sum is σ = 15001620480. Its totient is φ = 5882627520.

The previous prime is 10003011197. The next prime is 10003011247. The reversal of 10003011213 is 31211030001.

10003011213 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 10003011213 - 24 = 10003011197 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003011113) 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, 1099678 + ... + 1108736.

It is an arithmetic number, because the mean of its divisors is an integer number (468800640).

Almost surely, 210003011213 is an apocalyptic number.

10003011213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10003011213 is a deficient number, since it is larger than the sum of its proper divisors (4998609267).

10003011213 is a wasteful number, since it uses less digits than its factorization.

10003011213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10329.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10003011213 its reverse (31211030001), we get a palindrome (41214041214).

The spelling of 10003011213 in words is "ten billion, three million, eleven thousand, two hundred thirteen".

Divisors: 1 3 13 23 39 69 299 897 1231 3693 9059 16003 27177 28313 48009 84939 117767 208357 353301 368069 625071 1104207 2708641 8125923 11151629 33454887 144971177 256487467 434913531 769462401 3334337071 10003011213