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221102121212 = 227219791315737
BaseRepresentation
bin1100110111101010110…
…1101010000011111100
3210010200222122111211022
43031322231222003330
512110304120334322
6245323425443312
721655055010200
oct3157255520374
9703628574738
10221102121212
11858504241a5
1236a267a0538
1317b0813b12b
14a9b68d8b00
155b40d44942
hex337ab6a0fc

221102121212 has 144 divisors (see below), whose sum is σ = 483534374400. Its totient is φ = 87942516480.

The previous prime is 221102121187. The next prime is 221102121241. The reversal of 221102121212 is 212121201122.

It is a super-2 number, since 2×2211021212122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38536808 + ... + 38542544.

It is an arithmetic number, because the mean of its divisors is an integer number (3357877600).

Almost surely, 2221102121212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221102121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241767187200).

221102121212 is an abundant number, since it is smaller than the sum of its proper divisors (262432253188).

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

221102121212 is a wasteful number, since it uses less digits than its factorization.

221102121212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5984 (or 5975 counting only the distinct ones).

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

Adding to 221102121212 its reverse (212121201122), we get a palindrome (433223322334).

The spelling of 221102121212 in words is "two hundred twenty-one billion, one hundred two million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 4 7 14 19 28 38 49 76 79 98 131 133 158 196 262 266 316 524 532 553 917 931 1106 1501 1834 1862 2212 2489 3002 3668 3724 3871 4978 5737 6004 6419 7742 9956 10349 10507 11474 12838 15484 17423 20698 21014 22948 25676 34846 40159 41396 42028 69692 72443 73549 80318 109003 121961 144886 147098 160636 196631 218006 243922 281113 289772 294196 393262 436012 453223 487844 507101 562226 751547 763021 786524 906446 1014202 1124452 1376417 1503094 1526042 1812892 2028404 2752834 3006188 3052084 3172561 5260829 5341147 5505668 6345122 8611237 9634919 10521658 10682294 12690244 14279393 17222474 19269838 21043316 21364588 22207927 28558786 34444948 36825803 38539676 44415854 57117572 59372213 60278659 73651606 88831708 99955751 118744426 120557318 147303212 199911502 237488852 241114636 399823004 415605491 421950613 699690257 831210982 843901226 1128072047 1399380514 1662421964 1687802452 2256144094 2798761028 2909238437 4512288188 5818476874 7896504329 11636953748 15793008658 31586017316 55275530303 110551060606 221102121212