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221220221100102 = 2347227868508579
BaseRepresentation
bin110010010011001011011000…
…101100100010000001000110
31002000021110001120100222210000
4302103023120230202001012
5212443433003100200402
62102255055552342130
764411430206504200
oct6223133054420106
91060243046328700
10221220221100102
116453aa72680254
1220989b64544946
139658c922995b3
143c8b189ba7770
151a896a3ea2c1c
hexc932d8b22046

221220221100102 has 60 divisors (see below), whose sum is σ = 576627311028780. Its totient is φ = 63205777454904.

The previous prime is 221220221100091. The next prime is 221220221100143. The reversal of 221220221100102 is 201001122022122.

It is a happy number.

221220221100102 is a `hidden beast` number, since 2 + 21 + 220 + 221 + 100 + 102 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 13934246352 + ... + 13934262227.

It is an arithmetic number, because the mean of its divisors is an integer number (9610455183813).

Almost surely, 2221220221100102 is an apocalyptic number.

221220221100102 is an abundant number, since it is smaller than the sum of its proper divisors (355407089928678).

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

221220221100102 is a wasteful number, since it uses less digits than its factorization.

221220221100102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27868508607 (or 27868508591 counting only the distinct ones).

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

Adding to 221220221100102 its reverse (201001122022122), we get a palindrome (422221343122224).

The spelling of 221220221100102 in words is "two hundred twenty-one trillion, two hundred twenty billion, two hundred twenty-one million, one hundred thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3969 7938 27868508579 55737017158 83605525737 167211051474 195079560053 250816577211 390159120106 501633154422 585238680159 752449731633 1170477360318 1365556920371 1504899463266 1755716040477 2257349194899 2731113840742 3511432080954 4096670761113 4514698389798 5267148121431 8193341522226 10534296242862 12290012283339 15801444364293 24580024566678 31602888728586 36870036850017 73740073700034 110610110550051 221220221100102