Search a number
-
+
10003120444332 = 2232330767840061
BaseRepresentation
bin1001000110010000100001…
…1100001101001110101100
31022102021210122220020201200
42101210020130031032230
52302342342313204312
633135211535005500
72051462435601531
oct221441034151654
938367718806650
1010003120444332
11320733278a034
121156808969890
135773a0790ca2
14268221728d88
1512530dd790dc
hex9190870d3ac

10003120444332 has 36 divisors (see below), whose sum is σ = 25285772113056. Its totient is φ = 3334359431520.

The previous prime is 10003120444297. The next prime is 10003120444357. The reversal of 10003120444332 is 23344402130001.

10003120444332 is a `hidden beast` number, since 10 + 0 + 0 + 3 + 1 + 204 + 443 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×100031204443322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10003120444296 and 10003120444305.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11487582 + ... + 12327642.

It is an arithmetic number, because the mean of its divisors is an integer number (702382558696).

Almost surely, 210003120444332 is an apocalyptic number.

10003120444332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10003120444332 is an abundant number, since it is smaller than the sum of its proper divisors (15282651668724).

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

10003120444332 is a wasteful number, since it uses less digits than its factorization.

10003120444332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170838 (or 1170833 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10003120444332 its reverse (23344402130001), we get a palindrome (33347522574333).

The spelling of 10003120444332 in words is "ten trillion, three billion, one hundred twenty million, four hundred forty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 330767 661534 840061 992301 1323068 1680122 1984602 2520183 2976903 3360244 3969204 5040366 5953806 7560549 10080732 11907612 15121098 30242196 277864456787 555728913574 833593370361 1111457827148 1667186740722 2500780111083 3334373481444 5001560222166 10003120444332