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12210002310030 = 23572511531151303
BaseRepresentation
bin1011000110101101110011…
…0110011011001110001110
31121020021011001110210011220
42301223130312123032032
53100022041042410110
641545110404224210
72400100145132160
oct261533466331616
947207131423156
1012210002310030
113988261a98628
12145246909b066
136a75240277b5
14302d78264930
1516292455c370
hexb1adcd9b38e

12210002310030 has 128 divisors (see below), whose sum is σ = 33645903814656. Its totient is φ = 2777904720000.

The previous prime is 12210002309993. The next prime is 12210002310043. The reversal of 12210002310030 is 3001320001221.

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

It is a junction number, because it is equal to n+sod(n) for n = 12210002309991 and 12210002310009.

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, 80623359 + ... + 80774661.

It is an arithmetic number, because the mean of its divisors is an integer number (262858623552).

Almost surely, 212210002310030 is an apocalyptic number.

12210002310030 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 12210002310030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16822951907328).

12210002310030 is an abundant number, since it is smaller than the sum of its proper divisors (21435901504626).

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

12210002310030 is a wasteful number, since it uses less digits than its factorization.

12210002310030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153102.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12210002310030 its reverse (3001320001221), we get a palindrome (15211322311251).

The spelling of 12210002310030 in words is "twelve trillion, two hundred ten billion, two million, three hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 251 502 753 1255 1506 1531 1757 2510 3062 3514 3765 4593 5271 7530 7655 8785 9186 10542 10717 15310 17570 21434 22965 26355 32151 45930 52710 53585 64302 107170 151303 160755 302606 321510 384281 453909 756515 768562 907818 1059121 1152843 1513030 1921405 2118242 2269545 2305686 2689967 3177363 3842810 4539090 5295605 5379934 5764215 6354726 8069901 10591210 11528430 13449835 15886815 16139802 26899670 31773630 37977053 40349505 75954106 80699010 113931159 189885265 227862318 231644893 265839371 379770530 463289786 531678742 569655795 694934679 797518113 1139311590 1158224465 1329196855 1389869358 1595036226 1621514251 2316448930 2658393710 3243028502 3474673395 3987590565 4864542753 6949346790 7975181130 8107571255 9729085506 16215142510 24322713765 48645427530 58142868143 116285736286 174428604429 290714340715 348857208858 407000077001 581428681430 814000154002 872143022145 1221000231003 1744286044290 2035000385005 2442000462006 4070000770010 6105001155015 12210002310030