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1003113122011 = 711213109835789
BaseRepresentation
bin11101001100011100011…
…00111000100011011011
310112220012200022102001021
432212032030320203123
5112413333424401021
62044453535303311
7132321035565340
oct16461614704333
93486180272037
101003113122011
1135746622a600
121424b067ab37
1373793239480
143679da987c7
151b15ec02c41
hexe98e3388db

1003113122011 has 48 divisors (see below), whose sum is σ = 1369492062400. Its totient is φ = 714899623680.

The previous prime is 1003113122003. The next prime is 1003113122021. The reversal of 1003113122011 is 1102213113001.

It is a happy number.

It is not a de Polignac number, because 1003113122011 - 23 = 1003113122003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1003113122021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 782305 + ... + 1618093.

Almost surely, 21003113122011 is an apocalyptic number.

1003113122011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1003113122011 is a deficient number, since it is larger than the sum of its proper divisors (366378940389).

1003113122011 is a wasteful number, since it uses less digits than its factorization.

1003113122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835940 (or 835929 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1003113122011 its reverse (1102213113001), we get a palindrome (2105326235012).

The spelling of 1003113122011 in words is "one trillion, three billion, one hundred thirteen million, one hundred twenty-two thousand, eleven".

Divisors: 1 7 11 13 77 91 109 121 143 763 847 1001 1199 1417 1573 8393 9919 11011 13189 15587 92323 109109 171457 835789 1200199 5850523 9193679 10865257 64355753 76056799 91101001 101130469 119517827 637707007 707913283 836624789 1002111011 1184313013 1314696097 7014777077 8290191091 9202872679 11023221121 13027443143 77162547847 91192102001 143301874573 1003113122011