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1003443132021 = 311311138680379
BaseRepresentation
bin11101001101000011101…
…11110001011001110101
310112221001200021122200020
432212201313301121311
5112420022420211041
62044550404435353
7132332153614551
oct16464167613165
93487050248606
101003443132021
11357615540a50
121425830a8b59
1373816713975
14367d1840861
151b17db8d866
hexe9a1df1675

1003443132021 has 32 divisors (see below), whose sum is σ = 1519969259520. Its totient is φ = 583321401600.

The previous prime is 1003443132007. The next prime is 1003443132023. The reversal of 1003443132021 is 1202313443001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-1003443132021 is a prime.

It is a super-2 number, since 2×10034431320212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1003443131982 and 1003443132000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003443132023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4224591 + ... + 4455788.

It is an arithmetic number, because the mean of its divisors is an integer number (47499039360).

Almost surely, 21003443132021 is an apocalyptic number.

1003443132021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1003443132021 is a deficient number, since it is larger than the sum of its proper divisors (516526127499).

1003443132021 is a wasteful number, since it uses less digits than its factorization.

1003443132021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8680537.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1003443132021 its reverse (1202313443001), we get a palindrome (2205756575022).

The spelling of 1003443132021 in words is "one trillion, three billion, four hundred forty-three million, one hundred thirty-two thousand, twenty-one".

Divisors: 1 3 11 31 33 93 113 339 341 1023 1243 3503 3729 10509 38533 115599 8680379 26041137 95484169 269091749 286452507 807275247 980882827 2942648481 2960009239 8880027717 10789711097 30407367637 32369133291 91222102911 334481044007 1003443132021