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10321222230 = 2335115958901
BaseRepresentation
bin10011001110011000…
…10101101001010110
3222122022012102012000
421213030111221112
5132114213102410
64424055340130
7513524640624
oct114714255126
928568172160
1010321222230
114417074030
122000681646
13c86408ab7
146dca9c514
154061aedc0
hex267315a56

10321222230 has 128 divisors (see below), whose sum is σ = 30534796800. Its totient is φ = 2459664000.

The previous prime is 10321222229. The next prime is 10321222259. The reversal of 10321222230 is 3222212301.

10321222230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 145780 + ... + 204680.

It is an arithmetic number, because the mean of its divisors is an integer number (238553100).

Almost surely, 210321222230 is an apocalyptic number.

10321222230 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 10321222230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15267398400).

10321222230 is an abundant number, since it is smaller than the sum of its proper divisors (20213574570).

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

10321222230 is a wasteful number, since it uses less digits than its factorization.

10321222230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58987 (or 58981 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10321222230 its reverse (3222212301), we get a palindrome (13543434531).

The spelling of 10321222230 in words is "ten billion, three hundred twenty-one million, two hundred twenty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 59 66 90 99 110 118 135 165 177 198 270 295 297 330 354 495 531 590 594 649 885 990 1062 1298 1485 1593 1770 1947 2655 2970 3186 3245 3894 5310 5841 6490 7965 9735 11682 15930 17523 19470 29205 35046 58410 58901 87615 117802 175230 176703 294505 353406 530109 589010 647911 883515 1060218 1295822 1590327 1767030 1943733 2650545 3180654 3239555 3475159 3887466 5301090 5831199 6479110 6950318 7951635 9718665 10425477 11662398 15903270 17375795 17493597 19437330 20850954 29155995 31276431 34751590 34987194 38226749 52127385 58311990 62552862 76453498 87467985 93829293 104254770 114680247 156382155 174935970 187658586 191133745 229360494 312764310 344040741 382267490 469146465 573401235 688081482 938292930 1032122223 1146802470 1720203705 2064244446 3440407410 5160611115 10321222230