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221210312000312 = 23175330799965977
BaseRepresentation
bin110010010011000010001010…
…000100010100001100111000
31002000020111110222122120022002
4302103002022010110030320
5212443302204333002222
62102250340414120132
764410626514524345
oct6223021204241470
91060214428576262
10221210312000312
1164536848201988
1220988059ab0048
139658073387a3b
143c8a8c9b477cc
151a892c409d392
hexc9308a114338

221210312000312 has 64 divisors (see below), whose sum is σ = 448911219445920. Its totient is φ = 101802151047168.

The previous prime is 221210312000257. The next prime is 221210312000477. The reversal of 221210312000312 is 213000213012122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47770133 + ... + 52195844.

Almost surely, 2221210312000312 is an apocalyptic number.

It is an amenable number.

221210312000312 is an abundant number, since it is smaller than the sum of its proper divisors (227700907445608).

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

221210312000312 is a wasteful number, since it uses less digits than its factorization.

221210312000312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99966360 (or 99966356 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 221210312000312 its reverse (213000213012122), we get a palindrome (434210525012434).

The spelling of 221210312000312 in words is "two hundred twenty-one trillion, two hundred ten billion, three hundred twelve million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 17 34 53 68 106 136 212 307 424 614 901 1228 1802 2456 3604 5219 7208 10438 16271 20876 32542 41752 65084 130168 276607 553214 1106428 2212856 99965977 199931954 399863908 799727816 1699421609 3398843218 5298196781 6797686436 10596393562 13595372872 21192787124 30689554939 42385574248 61379109878 90069345277 122758219756 180138690554 245516439512 360277381108 521722433963 720554762216 1043444867926 1626546411767 2086889735852 3253092823534 4173779471704 6506185647068 13012371294136 27651289000039 55302578000078 110605156000156 221210312000312