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221311310442 = 23294727199859
BaseRepresentation
bin1100111000011100101…
…1101001101001101010
3210011020120021102111120
43032013023221221222
512111221143413232
6245400301240110
721663205046265
oct3160713515152
9704216242446
10221311310442
1185948513162
1236a84863036
1317b3c591c41
14a9d65cdcdc
155b543b692c
hex33872e9a6a

221311310442 has 64 divisors (see below), whose sum is σ = 469357977600. Its totient is φ = 69453236160.

The previous prime is 221311310419. The next prime is 221311310497. The reversal of 221311310442 is 244013113122.

It is a super-2 number, since 2×2213113104422 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2166309 + ... + 2266167.

It is an arithmetic number, because the mean of its divisors is an integer number (7333718400).

Almost surely, 2221311310442 is an apocalyptic number.

221311310442 is an abundant number, since it is smaller than the sum of its proper divisors (248046667158).

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

221311310442 is a wasteful number, since it uses less digits than its factorization.

221311310442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100211.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 221311310442 its reverse (244013113122), we get a palindrome (465324423564).

The spelling of 221311310442 in words is "two hundred twenty-one billion, three hundred eleven million, three hundred ten thousand, four hundred forty-two".

Divisors: 1 2 3 6 29 47 58 87 94 141 174 271 282 542 813 1363 1626 2726 4089 7859 8178 12737 15718 23577 25474 38211 47154 76422 99859 199718 299577 369373 599154 738746 1108119 2216238 2895911 4693373 5791822 8687733 9386746 14080119 17375466 27061789 28160238 54123578 81185367 136107817 162370734 272215634 408323451 784791881 816646902 1271904083 1569583762 2354375643 2543808166 3815712249 4708751286 7631424498 36885218407 73770436814 110655655221 221311310442