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221211000201210 = 235412712016132917
BaseRepresentation
bin110010010011000010110011…
…000101100101111111111010
31002000020120020221121210110020
4302103002303011211333322
5212443310112022414320
62102250533000431310
764410652542244065
oct6223026305457772
91060216227553406
10221211000201210
1164537070722458
1220988210478536
139658152b256c6
143c8a9532cd8dc
151a893146de940
hexc930b3165ffa

221211000201210 has 128 divisors (see below), whose sum is σ = 545905842306048. Its totient is φ = 57333878784000.

The previous prime is 221211000201203. The next prime is 221211000201211. The reversal of 221211000201210 is 12102000112122.

It is a super-2 number, since 2×2212110002012102 (a number of 29 digits) contains 22 as substring.

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 221211000201210.

It is not an unprimeable number, because it can be changed into a prime (221211000201211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6720249672 + ... + 6720282588.

It is an arithmetic number, because the mean of its divisors is an integer number (4264889393016).

Almost surely, 2221211000201210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221211000201210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272952921153024).

221211000201210 is an abundant number, since it is smaller than the sum of its proper divisors (324694842104838).

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

221211000201210 is a wasteful number, since it uses less digits than its factorization.

221211000201210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53400.

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

Adding to 221211000201210 its reverse (12102000112122), we get a palindrome (233313000313332).

The spelling of 221211000201210 in words is "two hundred twenty-one trillion, two hundred eleven billion, two hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 271 410 542 615 813 1230 1355 1626 2710 4065 8130 11111 20161 22222 32917 33333 40322 55555 60483 65834 66666 98751 100805 111110 120966 164585 166665 197502 201610 302415 329170 333330 493755 604830 826601 987510 1349597 1653202 2479803 2699194 4048791 4133005 4959606 5463631 6747985 8097582 8266010 8920507 10927262 12399015 13495970 16390893 17841014 20243955 24798030 26761521 27318155 32781786 40487910 44602535 53523042 54636310 81954465 89205070 133807605 163908930 224008871 267615210 365740787 448017742 663639637 672026613 731481574 1097222361 1120044355 1327279274 1344053226 1828703935 1990918911 2194444722 2240088710 3318198185 3360133065 3657407870 3981837822 5486111805 6636396370 6720266130 9954594555 10972223610 19909189110 27209225117 54418450234 81627675351 136046125585 163255350702 179846341627 272092251170 359692683254 408138376755 539539024881 816276753510 899231708135 1079078049762 1798463416270 2697695124405 5395390248810 7373700006707 14747400013414 22121100020121 36868500033535 44242200040242 73737000067070 110605500100605 221211000201210