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12223001010 = 2351173895701
BaseRepresentation
bin10110110001000110…
…00011000110110010
31011112211201210020010
423120203003012302
5200013042013020
65340513155350
7611616536313
oct133043030662
934484653203
1012223001010
115202624630
12245155bb56
1311ca41319c
1483d4aa60a
154b811ede0
hex2d88c31b2

12223001010 has 128 divisors (see below), whose sum is σ = 32810676480. Its totient is φ = 2889216000.

The previous prime is 12223001009. The next prime is 12223001029. The reversal of 12223001010 is 1010032221.

It is a super-2 number, since 2×122230010102 (a number of 21 digits) contains 22 as substring.

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, 2141160 + ... + 2146860.

It is an arithmetic number, because the mean of its divisors is an integer number (256333410).

Almost surely, 212223001010 is an apocalyptic number.

12223001010 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 12223001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16405338240).

12223001010 is an abundant number, since it is smaller than the sum of its proper divisors (20587675470).

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

12223001010 is a wasteful number, since it uses less digits than its factorization.

12223001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5884.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12223001010 its reverse (1010032221), we get a palindrome (13233033231).

The spelling of 12223001010 in words is "twelve billion, two hundred twenty-three million, one thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 73 89 110 146 165 178 219 267 330 365 438 445 534 730 803 890 979 1095 1335 1606 1958 2190 2409 2670 2937 4015 4818 4895 5701 5874 6497 8030 9790 11402 12045 12994 14685 17103 19491 24090 28505 29370 32485 34206 38982 57010 62711 64970 71467 85515 97455 125422 142934 171030 188133 194910 214401 313555 357335 376266 416173 428802 507389 627110 714670 832346 940665 1014778 1072005 1248519 1522167 1881330 2080865 2144010 2497038 2536945 3044334 4161730 4577903 5073890 5581279 6242595 7610835 9155806 11162558 12485190 13733709 15221670 16743837 22889515 27467418 27906395 33487674 37039397 45779030 55812790 68668545 74078794 83719185 111118191 137337090 167438370 185196985 222236382 370393970 407433367 555590955 814866734 1111181910 1222300101 2037166835 2444600202 4074333670 6111500505 12223001010