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221210001012210 = 235710773313430671
BaseRepresentation
bin110010010011000001110111…
…100001111111010111110010
31002000020110200022110201211020
4302103001313201333113302
5212443301040224342320
62102250245504400310
764410616020261450
oct6223016741772762
91060213608421736
10221210001012210
11645366a8702a21
1220987b91916096
139658023b10702
143c8a89a7139d0
151a892a6b1d940
hexc9307787f5f2

221210001012210 has 128 divisors (see below), whose sum is σ = 613253508931584. Its totient is φ = 50021402238720.

The previous prime is 221210001012197. The next prime is 221210001012269. The reversal of 221210001012210 is 12210100012122.

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

It is a self number, because there is not a number n which added to its sum of digits gives 221210001012210.

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, 9755175 + ... + 23185845.

It is an arithmetic number, because the mean of its divisors is an integer number (4791043038528).

Almost surely, 2221210001012210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221210001012210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306626754465792).

221210001012210 is an abundant number, since it is smaller than the sum of its proper divisors (392043507919374).

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

221210001012210 is a wasteful number, since it uses less digits than its factorization.

221210001012210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13431528.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221210001012210 its reverse (12210100012122), we get a palindrome (233420101024332).

The spelling of 221210001012210 in words is "two hundred twenty-one trillion, two hundred ten billion, one million, twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 107 210 214 321 535 642 733 749 1070 1466 1498 1605 2199 2247 3210 3665 3745 4398 4494 5131 7330 7490 10262 10995 11235 15393 21990 22470 25655 30786 51310 76965 78431 153930 156862 235293 392155 470586 549017 784310 1098034 1176465 1647051 2352930 2745085 3294102 5490170 8235255 13430671 16470510 26861342 40292013 67153355 80584026 94014697 134306710 188029394 201460065 282044091 402920130 470073485 564088182 940146970 1410220455 1437081797 2820440910 2874163594 4311245391 7185408985 8622490782 9844681843 10059572579 14370817970 19689363686 20119145158 21556226955 29534045529 30178717737 43112453910 49223409215 50297862895 59068091058 60357435474 68912772901 98446818430 100595725790 137825545802 147670227645 150893588685 206738318703 295340455290 301787177370 344563864505 413476637406 689127729010 1033691593515 1053380957201 2067383187030 2106761914402 3160142871603 5266904786005 6320285743206 7373666700407 10533809572010 14747333400814 15800714358015 22121000101221 31601428716030 36868333502035 44242000202442 73736667004070 110605000506105 221210001012210