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1002222102321 = 331117198499129
BaseRepresentation
bin11101001010110010001…
…01111010011100110001
310112210220120200220211000
432211121011322130301
5112410022324233241
62044225305512213
7132256666211316
oct16453105723461
93483816626730
101002222102321
113570492812a0
121422a21a2669
137368076849b
14367175d8d0d
151b10b89beb6
hexe95917a731

1002222102321 has 32 divisors (see below), whose sum is σ = 1715032483200. Its totient is φ = 571677488640.

The previous prime is 1002222102313. The next prime is 1002222102337. The reversal of 1002222102321 is 1232012222001.

1002222102321 is a `hidden beast` number, since 1 + 0 + 0 + 222 + 210 + 232 + 1 = 666.

It is not a de Polignac number, because 1002222102321 - 23 = 1002222102313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002222102294 and 1002222102303.

It is not an unprimeable number, because it can be changed into a prime (1002222103321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99244516 + ... + 99254613.

It is an arithmetic number, because the mean of its divisors is an integer number (53594765100).

Almost surely, 21002222102321 is an apocalyptic number.

1002222102321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002222102321 is a deficient number, since it is larger than the sum of its proper divisors (712810380879).

1002222102321 is a wasteful number, since it uses less digits than its factorization.

1002222102321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198499166 (or 198499160 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1002222102321 its reverse (1232012222001), we get a palindrome (2234234324322).

The spelling of 1002222102321 in words is "one trillion, two billion, two hundred twenty-two million, one hundred two thousand, three hundred twenty-one".

Divisors: 1 3 9 11 17 27 33 51 99 153 187 297 459 561 1683 5049 198499129 595497387 1786492161 2183490419 3374485193 5359476483 6550471257 10123455579 19651413771 30370366737 37119337123 58954241313 91111100211 111358011369 334074034107 1002222102321