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10213311330 = 233548017879
BaseRepresentation
bin10011000001100001…
…01100001101100010
3222100210010222021000
421200300230031202
5131404101430310
64405242412430
7511044466605
oct114060541542
928323128230
1010213311330
114371169a72
121b90501116
13c69c555b1
146cc60c33c
153eb9964c0
hex260c2c362

10213311330 has 64 divisors (see below), whose sum is σ = 27244627200. Its totient is φ = 2722636800.

The previous prime is 10213311301. The next prime is 10213311337. The reversal of 10213311330 is 3311331201.

It is a happy number.

10213311330 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 331 + 1 + 330 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10213311337) 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 31 ways as a sum of consecutive naturals, for example, 1292331 + ... + 1300209.

It is an arithmetic number, because the mean of its divisors is an integer number (425697300).

Almost surely, 210213311330 is an apocalyptic number.

10213311330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10213311330 is an abundant number, since it is smaller than the sum of its proper divisors (17031315870).

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

10213311330 is a wasteful number, since it uses less digits than its factorization.

10213311330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12696 (or 12690 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10213311330 its reverse (3311331201), we get a palindrome (13524642531).

The spelling of 10213311330 in words is "ten billion, two hundred thirteen million, three hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 4801 7879 9602 14403 15758 23637 24005 28806 39395 43209 47274 48010 70911 72015 78790 86418 118185 129627 141822 144030 212733 216045 236370 259254 354555 425466 432090 648135 709110 1063665 1296270 2127330 37827079 75654158 113481237 189135395 226962474 340443711 378270790 567406185 680887422 1021331133 1134812370 1702218555 2042662266 3404437110 5106655665 10213311330