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10213323210 = 234585714713
BaseRepresentation
bin10011000001100001…
…01111000111001010
3222100210011120120000
421200300233013022
5131404102320320
64405242543430
7511044546336
oct114060570712
928323146500
1010213323210
114371177992
121b90507b76
13c69c5ab1c
146cc6127c6
153eb999c90
hex260c2f1ca

10213323210 has 80 divisors (see below), whose sum is σ = 27496404936. Its totient is φ = 2720189952.

The previous prime is 10213323199. The next prime is 10213323227. The reversal of 10213323210 is 1232331201.

10213323210 is a `hidden beast` number, since 10 + 2 + 1 + 332 + 321 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10144316961 + 69006249 = 100719^2 + 8307^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 686814 + ... + 701526.

Almost surely, 210213323210 is an apocalyptic number.

10213323210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10213323210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13748202468).

10213323210 is an abundant number, since it is smaller than the sum of its proper divisors (17283081726).

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

10213323210 is a wasteful number, since it uses less digits than its factorization.

10213323210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15589 (or 15580 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10213323210 its reverse (1232331201), we get a palindrome (11445654411).

The spelling of 10213323210 in words is "ten billion, two hundred thirteen million, three hundred twenty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 857 1714 2571 4285 5142 7713 8570 12855 14713 15426 23139 25710 29426 38565 44139 46278 69417 73565 77130 88278 115695 132417 138834 147130 220695 231390 264834 347085 397251 441390 662085 694170 794502 1191753 1324170 1986255 2383506 3972510 5958765 11917530 12609041 25218082 37827123 63045205 75654246 113481369 126090410 189135615 226962738 340444107 378271230 567406845 680888214 1021332321 1134813690 1702220535 2042664642 3404441070 5106661605 10213323210