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1004322112002 = 2321159127676943
BaseRepresentation
bin11101001110101100100…
…00110100001000000010
310120000022221020110112100
432213112100310020002
5112423322430041002
62045213524211230
7132363016045446
oct16472620641002
93500287213470
101004322112002
11357a26716690
12142789539b16
137392685a871
1436876488826
151b1d0e1711c
hexe9d6434202

1004322112002 has 96 divisors (see below), whose sum is σ = 2433099202560. Its totient is φ = 296825528160.

The previous prime is 1004322111997. The next prime is 1004322112021. The reversal of 1004322112002 is 2002112234001.

It is a happy number.

1004322112002 is a `hidden beast` number, since 1 + 0 + 0 + 432 + 211 + 20 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1145143 + ... + 1822085.

It is an arithmetic number, because the mean of its divisors is an integer number (25344783360).

Almost surely, 21004322112002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004322112002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216549601280).

1004322112002 is an abundant number, since it is smaller than the sum of its proper divisors (1428777090558).

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

1004322112002 is a wasteful number, since it uses less digits than its factorization.

1004322112002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677148 (or 677145 counting only the distinct ones).

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

Adding to 1004322112002 its reverse (2002112234001), we get a palindrome (3006434346003).

The spelling of 1004322112002 in words is "one trillion, four billion, three hundred twenty-two million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 99 118 127 177 198 254 354 381 531 649 762 1062 1143 1298 1397 1947 2286 2794 3894 4191 5841 7493 8382 11682 12573 14986 22479 25146 44958 67437 82423 134874 164846 247269 494538 676943 741807 1353886 1483614 2030829 4061658 6092487 7446373 12184974 14892746 22339119 39939637 44678238 67017357 79879274 85971761 119818911 134034714 171943522 239637822 257915283 359456733 439336007 515830566 718913466 773745849 878672014 945689371 1318008021 1547491698 1891378742 2636016042 2837068113 3954024063 5072333899 5674136226 7908048126 8511204339 10144667798 15217001697 17022408678 30434003394 45651005091 55795672889 91302010182 111591345778 167387018667 334774037334 502161056001 1004322112002