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23211144330 = 23511673832741
BaseRepresentation
bin10101100111011111…
…011111010010001010
32012220121212022011020
4111213133133102022
5340014023104310
614355115213310
71451123320503
oct254737372212
965817768136
1023211144330
1199310a4310
1245b9447236
13225ba48b3a
1411a2971baa
1590cb1b170
hex5677df48a

23211144330 has 128 divisors (see below), whose sum is σ = 61861625856. Its totient is φ = 5526470400.

The previous prime is 23211144317. The next prime is 23211144367. The reversal of 23211144330 is 3344111232.

It is a happy number.

It is a super-2 number, since 2×232111443302 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23211144330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8466760 + ... + 8469500.

It is an arithmetic number, because the mean of its divisors is an integer number (483293952).

Almost surely, 223211144330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23211144330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30930812928).

23211144330 is an abundant number, since it is smaller than the sum of its proper divisors (38650481526).

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

23211144330 is a wasteful number, since it uses less digits than its factorization.

23211144330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 23211144330 its reverse (3344111232), we get a palindrome (26555255562).

The spelling of 23211144330 in words is "twenty-three billion, two hundred eleven million, one hundred forty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 67 110 134 165 201 330 335 383 402 670 737 766 1005 1149 1474 1915 2010 2211 2298 2741 3685 3830 4213 4422 5482 5745 7370 8223 8426 11055 11490 12639 13705 16446 21065 22110 25278 25661 27410 30151 41115 42130 51322 60302 63195 76983 82230 90453 126390 128305 150755 153966 180906 183647 256610 282271 301510 367294 384915 452265 550941 564542 769830 846813 904530 918235 1049803 1101882 1411355 1693626 1836470 2020117 2099606 2754705 2822710 3149409 4040234 4234065 5249015 5509410 6060351 6298818 8468130 10100585 10498030 11547833 12120702 15747045 20201170 23095666 30301755 31494090 34643499 57739165 60603510 69286998 70336801 115478330 140673602 173217495 211010403 346434990 351684005 422020806 703368010 773704811 1055052015 1547409622 2110104030 2321114433 3868524055 4642228866 7737048110 11605572165 23211144330