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221221212102 = 233115342116691
BaseRepresentation
bin1100111000000111001…
…1111100111111000110
3210011000021201221211000
43032001303330333012
512111030112241402
6245343322154130
721661032164022
oct3160163747706
9704007657730
10221221212102
1185901674a20
1236a5a652946
1317b26a07307
14a9c8659382
155b4b51ac1c
hex3381cfcfc6

221221212102 has 128 divisors (see below), whose sum is σ = 547743306240. Its totient is φ = 65611728000.

The previous prime is 221221212089. The next prime is 221221212127. The reversal of 221221212102 is 201212122122.

It is a happy number.

221221212102 is a `hidden beast` number, since 221 + 221 + 212 + 10 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 13245577 + ... + 13262267.

It is an arithmetic number, because the mean of its divisors is an integer number (4279244580).

Almost surely, 2221221212102 is an apocalyptic number.

221221212102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221221212102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273871653120).

221221212102 is an abundant number, since it is smaller than the sum of its proper divisors (326522094138).

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

221221212102 is a wasteful number, since it uses less digits than its factorization.

221221212102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17187 (or 17181 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221221212102 its reverse (201212122122), we get a palindrome (422433334224).

The spelling of 221221212102 in words is "two hundred twenty-one billion, two hundred twenty-one million, two hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 53 54 66 99 106 159 198 297 318 421 477 583 594 842 954 1166 1263 1431 1749 2526 2862 3498 3789 4631 5247 7578 9262 10494 11367 13893 15741 16691 22313 22734 27786 31482 33382 41679 44626 50073 66939 83358 100146 125037 133878 150219 183601 200817 245443 250074 300438 367202 401634 450657 490886 550803 602451 736329 884623 901314 1101606 1204902 1472658 1652409 1769246 2208987 2653869 3304818 4417974 4957227 5307738 6626961 7026911 7961607 9730853 9914454 13253922 14053822 15923214 19461706 21080733 23884821 29192559 42161466 47769642 58385118 63242199 77296021 87577677 126484398 154592042 175155354 189726597 231888063 262733031 372426283 379453194 463776126 525466062 695664189 744852566 1117278849 1391328378 2086992567 2234557698 3351836547 4096689113 4173985134 6703673094 8193378226 10055509641 12290067339 20111019282 24580134678 36870202017 73740404034 110610606051 221221212102