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1003311220040 = 23569313361877
BaseRepresentation
bin11101001100110100000…
…00100100010101001000
310112220201111001211110022
432212122000210111020
5112414240133020130
62044525333240012
7132325662441533
oct16463200442510
93486644054408
101003311220040
11357558033588
12142546a93008
13737c52a8b3c
14367bc103a1a
151b1722d37e5
hexe99a024548

1003311220040 has 32 divisors (see below), whose sum is σ = 2257489052280. Its totient is φ = 401317588992.

The previous prime is 1003311219949. The next prime is 1003311220061. The reversal of 1003311220040 is 400221133001.

It can be written as a sum of positive squares in 4 ways, for example, as 949856855236 + 53454364804 = 974606^2 + 231202^2 .

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, 2591582 + ... + 2953458.

Almost surely, 21003311220040 is an apocalyptic number.

1003311220040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003311220040 is an abundant number, since it is smaller than the sum of its proper divisors (1254177832240).

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

1003311220040 is a wasteful number, since it uses less digits than its factorization.

1003311220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431201 (or 431197 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1003311220040 its reverse (400221133001), we get a palindrome (1403532353041).

The spelling of 1003311220040 in words is "one trillion, three billion, three hundred eleven million, two hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 69313 138626 277252 346565 361877 554504 693130 723754 1386260 1447508 1809385 2772520 2895016 3618770 7237540 14475080 25082780501 50165561002 100331122004 125413902505 200662244008 250827805010 501655610020 1003311220040