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12230010100 = 22527111739181
BaseRepresentation
bin10110110001111011…
…10010010011110100
31011120022220212220001
423120331302103310
5200021340310400
65341323321044
7612033241060
oct133075622364
934508825801
1012230010100
115206581670
122453980184
1311cb9c8589
148403b2aa0
154b8a56a6a
hex2d8f724f4

12230010100 has 144 divisors (see below), whose sum is σ = 33282619776. Its totient is φ = 3789504000.

The previous prime is 12230010019. The next prime is 12230010151. The reversal of 12230010100 is 101003221.

It is a super-2 number, since 2×122300101002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1327510 + ... + 1336690.

It is an arithmetic number, because the mean of its divisors is an integer number (231129304).

Almost surely, 212230010100 is an apocalyptic number.

12230010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12230010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16641309888).

12230010100 is an abundant number, since it is smaller than the sum of its proper divisors (21052609676).

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

12230010100 is a wasteful number, since it uses less digits than its factorization.

12230010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9386 (or 9379 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 12230010100 its reverse (101003221), we get a palindrome (12331013321).

The spelling of 12230010100 in words is "twelve billion, two hundred thirty million, ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 173 175 220 275 308 346 350 385 550 692 700 770 865 1100 1211 1540 1730 1903 1925 2422 3460 3806 3850 4325 4844 6055 7612 7700 8650 9181 9515 12110 13321 17300 18362 19030 24220 26642 30275 36724 38060 45905 47575 53284 60550 64267 66605 91810 95150 100991 121100 128534 133210 183620 190300 201982 229525 257068 266420 321335 333025 403964 459050 504955 642670 666050 706937 918100 1009910 1285340 1332100 1413874 1588313 1606675 2019820 2524775 2827748 3176626 3213350 3534685 5049550 6353252 6426700 7069370 7941565 10099100 11118191 14138740 15883130 17471443 17673425 22236382 31766260 34942886 35346850 39707825 44472764 55590955 69885772 70693700 79415650 87357215 111181910 122300101 158831300 174714430 222363820 244600202 277954775 349428860 436786075 489200404 555909550 611500505 873572150 1111819100 1223001010 1747144300 2446002020 3057502525 6115005050 12230010100