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210011201221220 = 22575321314076537
BaseRepresentation
bin101111110000000100001011…
…000011000011001001100100
31000112120212121200221022020222
4233300010023003003021210
5210011310420003034340
62022353451451343512
762143544225536550
oct5760041303031144
91015525550838228
10210011201221220
1160a09283121693
121b6796b2451b98
139024c81c35b49
1439c084c642860
151942d1756c8b5
hexbf010b0c3264

210011201221220 has 144 divisors (see below), whose sum is σ = 517637882095488. Its totient is φ = 70105983267840.

The previous prime is 210011201221183. The next prime is 210011201221223. The reversal of 210011201221220 is 22122102110012.

It is not an unprimeable number, because it can be changed into a prime (210011201221223) by changing a digit.

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, 49478792 + ... + 53555328.

It is an arithmetic number, because the mean of its divisors is an integer number (3594707514552).

Almost surely, 2210011201221220 is an apocalyptic number.

210011201221220 is a gapful number since it is divisible by the number (20) 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 210011201221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258818941047744).

210011201221220 is an abundant number, since it is smaller than the sum of its proper divisors (307626680874268).

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

210011201221220 is a wasteful number, since it uses less digits than its factorization.

210011201221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4076790 (or 4076735 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 210011201221220 its reverse (22122102110012), we get a palindrome (232133303331232).

The spelling of 210011201221220 in words is "two hundred ten trillion, eleven billion, two hundred one million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 131 140 212 262 265 371 524 530 655 742 917 1060 1310 1484 1834 1855 2620 2809 3668 3710 4585 5618 6943 7420 9170 11236 13886 14045 18340 19663 27772 28090 34715 39326 48601 56180 69430 78652 97202 98315 138860 194404 196630 243005 367979 393260 486010 735958 972020 1471916 1839895 2575853 3679790 4076537 5151706 7359580 8153074 10303412 12879265 16306148 20382685 25758530 28535759 40765370 51517060 57071518 81530740 114143036 142678795 216056461 285357590 432112922 534026347 570715180 864225844 1068052694 1080282305 1512395227 2136105388 2160564610 2670131735 3024790454 3738184429 4321129220 5340263470 6049580908 7476368858 7561976135 10680526940 11450992433 14952737716 15123952270 18690922145 22901984866 28303396391 30247904540 37381844290 45803969732 56606792782 57254962165 74763688580 80156947031 113213585564 114509924330 141516981955 160313894062 198123774737 229019848660 283033963910 320627788124 396247549474 400784735155 566067927820 792495098948 801569470310 990618873685 1500080008723 1603138940620 1981237747370 3000160017446 3962475494740 6000320034892 7500400043615 10500560061061 15000800087230 21001120122122 30001600174460 42002240244244 52502800305305 105005600610610 210011201221220