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12210303030320 = 2452920292593919
BaseRepresentation
bin1011000110101110111011…
…0001100101010000110000
31121020021221000022221212102
42301223232301211100300
53100023200033432240
641545200305515532
72400110456201543
oct261535661452060
947207830287772
1012210303030320
1139883a681419a
121452531942ba8
136a75714183b5
14302da618485a
15162940b5e815
hexb1aeec65430

12210303030320 has 80 divisors (see below), whose sum is σ = 29382369408000. Its totient is φ = 4713377270784.

The previous prime is 12210303030311. The next prime is 12210303030421. The reversal of 12210303030320 is 2303030301221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12210303030292 and 12210303030301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3410321 + ... + 6004239.

It is an arithmetic number, because the mean of its divisors is an integer number (367279617600).

Almost surely, 212210303030320 is an apocalyptic number.

12210303030320 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 12210303030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14691184704000).

12210303030320 is an abundant number, since it is smaller than the sum of its proper divisors (17172066377680).

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

12210303030320 is a wasteful number, since it uses less digits than its factorization.

12210303030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2595990 (or 2595984 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 12210303030320 its reverse (2303030301221), we get a palindrome (14513333331541).

The spelling of 12210303030320 in words is "twelve trillion, two hundred ten billion, three hundred three million, thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2029 2320 4058 8116 10145 16232 20290 32464 40580 58841 81160 117682 162320 235364 294205 470728 588410 941456 1176820 2353640 2593919 4707280 5187838 10375676 12969595 20751352 25939190 41502704 51878380 75223651 103756760 150447302 207513520 300894604 376118255 601789208 752236510 1203578416 1504473020 3008946040 5263061651 6017892080 10526123302 21052246604 26315308255 42104493208 52630616510 84208986416 105261233020 152628787879 210522466040 305257575758 421044932080 610515151516 763143939395 1221030303032 1526287878790 2442060606064 3052575757580 6105151515160 12210303030320