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10213231002 = 231373224571
BaseRepresentation
bin10011000001100000…
…11000100110011010
3222100202222220001220
421200300120212122
5131404041343002
64405240552510
7511044013452
oct114060304632
928322886056
1010213231002
114371114687
121b90482736
13c69c27b70
146cc5cad62
153eb97c7bc
hex260c1899a

10213231002 has 48 divisors (see below), whose sum is σ = 22304102688. Its totient is φ = 3099358080.

The previous prime is 10213231001. The next prime is 10213231009. The reversal of 10213231002 is 20013231201.

It is not an unprimeable number, because it can be changed into a prime (10213231001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403377 + ... + 427947.

It is an arithmetic number, because the mean of its divisors is an integer number (464668806).

Almost surely, 210213231002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10213231002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11152051344).

10213231002 is an abundant number, since it is smaller than the sum of its proper divisors (12090871686).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10213231002 is a wasteful number, since it uses less digits than its factorization.

10213231002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24735 (or 24662 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10213231002 its reverse (20013231201), we get a palindrome (30226462203).

The spelling of 10213231002 in words is "ten billion, two hundred thirteen million, two hundred thirty-one thousand, two".

Divisors: 1 2 3 6 13 26 39 73 78 146 219 438 949 1898 2847 5329 5694 10658 15987 24571 31974 49142 69277 73713 138554 147426 207831 319423 415662 638846 958269 1793683 1916538 3587366 5381049 10762098 23317879 46635758 69953637 130938859 139907274 261877718 392816577 785633154 1702205167 3404410334 5106615501 10213231002