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1001122340004 = 2232176287260191
BaseRepresentation
bin11101001000101111000…
…10101001110010100100
310112201001221022012112100
432210113202221302210
5112400244304340004
62043524222052100
7132220513325223
oct16442742516244
93481057265470
101001122340004
11356634509616
12142035a1a030
137353696ba57
143665151ccba
151b095061739
hexe9178a9ca4

1001122340004 has 72 divisors (see below), whose sum is σ = 2679910990848. Its totient is φ = 314026433280.

The previous prime is 1001122339999. The next prime is 1001122340011. The reversal of 1001122340004 is 4000432211001.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3717549 + ... + 3977739.

It is an arithmetic number, because the mean of its divisors is an integer number (37220985984).

Almost surely, 21001122340004 is an apocalyptic number.

It is an amenable number.

1001122340004 is an abundant number, since it is smaller than the sum of its proper divisors (1678788650844).

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

1001122340004 is a wasteful number, since it uses less digits than its factorization.

1001122340004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266505 (or 266500 counting only the distinct ones).

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

Adding to 1001122340004 its reverse (4000432211001), we get a palindrome (5001554551005).

The spelling of 1001122340004 in words is "one trillion, one billion, one hundred twenty-two million, three hundred forty thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 6287 12574 18861 25148 37722 56583 75444 106879 113166 213758 226332 260191 320637 427516 520382 641274 780573 961911 1040764 1282548 1561146 1923822 2341719 3122292 3847644 4423247 4683438 8846494 9366876 13269741 17692988 26539482 39809223 53078964 79618446 159236892 1635820817 3271641634 4907462451 6543283268 9814924902 14722387353 19629849804 27808953889 29444774706 55617907778 58889549412 83426861667 111235815556 166853723334 250280585001 333707446668 500561170002 1001122340004