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1001122004300 = 2252116071499359
BaseRepresentation
bin11101001000101111000…
…01010111110101001100
310112201001220200011000212
432210113201113311030
5112400244213114200
62043524210541552
7132220510426415
oct16442741276514
93481056604025
101001122004300
113566342aa380
121420358978b8
1373536882002
143665147280c
151b094ee7035
hexe917857d4c

1001122004300 has 72 divisors (see below), whose sum is σ = 2373834731520. Its totient is φ = 363444379200.

The previous prime is 1001122004299. The next prime is 1001122004327. The reversal of 1001122004300 is 34002211001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81980 + ... + 1417379.

Almost surely, 21001122004300 is an apocalyptic number.

1001122004300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001122004300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186917365760).

1001122004300 is an abundant number, since it is smaller than the sum of its proper divisors (1372712727220).

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

1001122004300 is a wasteful number, since it uses less digits than its factorization.

1001122004300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499991 (or 1499984 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1001122004300 its reverse (34002211001), we get a palindrome (1035124215301).

The spelling of 1001122004300 in words is "one trillion, one billion, one hundred twenty-two million, four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 607 1100 1214 2428 3035 6070 6677 12140 13354 15175 26708 30350 33385 60700 66770 133540 166925 333850 667700 1499359 2998718 5997436 7496795 14993590 16492949 29987180 32985898 37483975 65971796 74967950 82464745 149935900 164929490 329858980 412323725 824647450 910110913 1649294900 1820221826 3640443652 4550554565 9101109130 10011220043 18202218260 20022440086 22752772825 40044880172 45505545650 50056100215 91011091300 100112200430 200224400860 250280501075 500561002150 1001122004300