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221212321131006 = 2334395268010823
BaseRepresentation
bin110010010011000100000001…
…110100100010100111111110
31002000020200200000011222111000
4302103010001310202213332
5212443320313202143011
62102251312024511130
764411030352045262
oct6223040164424776
91060220600158430
10221212321131006
1164537689315577
122098851a91b4a6
1396583036ab07a
143c8aa3a8dc0a2
151a89390666356
hexc93101d229fe

221212321131006 has 32 divisors (see below), whose sum is σ = 503015097150720. Its totient is φ = 72022616181432.

The previous prime is 221212321131001. The next prime is 221212321131023. The reversal of 221212321131006 is 600131123212122.

It is a happy number.

221212321131006 is a `hidden beast` number, since 2 + 2 + 1 + 21 + 2 + 321 + 1 + 310 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221212321131001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47634003090 + ... + 47634007733.

It is an arithmetic number, because the mean of its divisors is an integer number (15719221785960).

Almost surely, 2221212321131006 is an apocalyptic number.

221212321131006 is an abundant number, since it is smaller than the sum of its proper divisors (281802776019714).

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

221212321131006 is a wasteful number, since it uses less digits than its factorization.

221212321131006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95268010877 (or 95268010871 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 221212321131006 its reverse (600131123212122), we get a palindrome (821343444343128).

The spelling of 221212321131006 in words is "two hundred twenty-one trillion, two hundred twelve billion, three hundred twenty-one million, one hundred thirty-one thousand, six".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 774 1161 2322 95268010823 190536021646 285804032469 571608064938 857412097407 1714824194814 2572236292221 4096524465389 5144472584442 8193048930778 12289573396167 24579146792334 36868720188501 73737440377002 110606160565503 221212321131006