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12220020002310 = 23519591991825963
BaseRepresentation
bin1011000111010011000111…
…1100111000111000000110
31121021020000012112021112220
42301310301330320320012
53100203100110033220
641553444422153210
72400603326122131
oct261646174707006
947236005467486
1012220020002310
11399153279705a
1214543a3b82806
136a845c59ab73
143036488b1218
15162d0dc62540
hexb1d31f38e06

12220020002310 has 128 divisors (see below), whose sum is σ = 31552657920000. Its totient is φ = 3019586055552.

The previous prime is 12220020002297. The next prime is 12220020002327. The reversal of 12220020002310 is 1320002002221.

It is a happy number.

12220020002310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122200200023102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12220020002310.

It is a congruent number.

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, 5779389 + ... + 7605351.

It is an arithmetic number, because the mean of its divisors is an integer number (246505140000).

Almost surely, 212220020002310 is an apocalyptic number.

12220020002310 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 12220020002310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15776328960000).

12220020002310 is an abundant number, since it is smaller than the sum of its proper divisors (19332637917690).

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

12220020002310 is a wasteful number, since it uses less digits than its factorization.

12220020002310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826250.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12220020002310 its reverse (1320002002221), we get a palindrome (13540022004531).

The spelling of 12220020002310 in words is "twelve trillion, two hundred twenty billion, twenty million, two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 59 95 114 118 177 190 199 285 295 354 398 570 590 597 885 995 1121 1194 1770 1990 2242 2985 3363 3781 5605 5970 6726 7562 11210 11343 11741 16815 18905 22686 23482 33630 35223 37810 56715 58705 70446 113430 117410 176115 223079 352230 446158 669237 1115395 1338474 1825963 2230790 3346185 3651926 5477889 6692370 9129815 10955778 18259630 27389445 34693297 54778890 69386594 104079891 107731817 173466485 208159782 215463634 323195451 346932970 363366637 520399455 538659085 646390902 726733274 1040798910 1077318170 1090099911 1615977255 1816833185 2046904523 2180199822 3231954510 3633666370 4093809046 5450499555 6140713569 6903966103 10234522615 10900999110 12281427138 13807932206 20469045230 20711898309 21438631583 30703567845 34519830515 41423796618 42877263166 61407135690 64315894749 69039661030 103559491545 107193157915 128631789498 207118983090 214386315830 321579473745 407334000077 643158947490 814668000154 1222002000231 2036670000385 2444004000462 4073340000770 6110010001155 12220020002310