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1003011332240 = 245113110952581
BaseRepresentation
bin11101001100010000010…
…00100101100010010000
310112212221120202221201202
432212020020211202100
5112413131400112430
62044435501450332
7132315361440221
oct16461010454220
93485846687652
101003011332240
11357413826425
121424825709a8
137377811a138
143679035d248
151b155ce7d45
hexe988225890

1003011332240 has 40 divisors (see below), whose sum is σ = 2352638548728. Its totient is φ = 397654046720.

The previous prime is 1003011332159. The next prime is 1003011332311. The reversal of 1003011332240 is 422331103001.

It can be written as a sum of positive squares in 4 ways, for example, as 13416125584 + 989595206656 = 115828^2 + 994784^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55467251 + ... + 55485330.

Almost surely, 21003011332240 is an apocalyptic number.

1003011332240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003011332240 is an abundant number, since it is smaller than the sum of its proper divisors (1349627216488).

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

1003011332240 is a wasteful number, since it uses less digits than its factorization.

1003011332240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110952707 (or 110952701 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1003011332240 its reverse (422331103001), we get a palindrome (1425342435241).

The spelling of 1003011332240 in words is "one trillion, three billion, eleven million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 9040 110952581 221905162 443810324 554762905 887620648 1109525810 1775241296 2219051620 4438103240 8876206480 12537641653 25075283306 50150566612 62688208265 100301133224 125376416530 200602266448 250752833060 501505666120 1003011332240