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1002222013312 = 27132326186821
BaseRepresentation
bin11101001010110010001…
…01100100101110000000
310112210220120112101201101
432211121011210232000
5112410022313411222
62044225303544144
7132256665360652
oct16453105445600
93483816471641
101002222013312
11357049220433
121422a215b054
1373680736b10
14367175b46d2
151b10b880927
hexe959164b80

1002222013312 has 64 divisors (see below), whose sum is σ = 2243686908960. Its totient is φ = 442452510720.

The previous prime is 1002222013297. The next prime is 1002222013357. The reversal of 1002222013312 is 2133102222001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1002222013312.

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 7 ways as a sum of consecutive naturals, for example, 13055139 + ... + 13131682.

Almost surely, 21002222013312 is an apocalyptic number.

It is an amenable number.

1002222013312 is an abundant number, since it is smaller than the sum of its proper divisors (1241464895648).

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

1002222013312 is a wasteful number, since it uses less digits than its factorization.

1002222013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26186871 (or 26186859 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1002222013312 its reverse (2133102222001), we get a palindrome (3135324235313).

The spelling of 1002222013312 in words is "one trillion, two billion, two hundred twenty-two million, thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 299 368 416 598 736 832 1196 1472 1664 2392 2944 4784 9568 19136 38272 26186821 52373642 104747284 209494568 340428673 418989136 602296883 680857346 837978272 1204593766 1361714692 1675956544 2409187532 2723429384 3351913088 4818375064 5446858768 7829859479 9636750128 10893717536 15659718958 19273500256 21787435072 31319437916 38547000512 43574870144 62638875832 77094001024 125277751664 250555503328 501111006656 1002222013312