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1131110000103 = 31729241643213
BaseRepresentation
bin10000011101011011011…
…010001110010111100111
311000010121000000111222210
4100131123122032113213
5122013003130000403
62223342540454503
7144501650236206
oct20353332162747
94003530014883
101131110000103
113a677911a586
1216327254a433
1382881112965
143ca630d523d
151e651c88b03
hex1075b68e5e7

1131110000103 has 48 divisors (see below), whose sum is σ = 1694163927456. Its totient is φ = 668528824320.

The previous prime is 1131110000077. The next prime is 1131110000117. The reversal of 1131110000103 is 3010000111311.

It is not a de Polignac number, because 1131110000103 - 25 = 1131110000071 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131110000123) 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 47 ways as a sum of consecutive naturals, for example, 1436925 + ... + 2080137.

It is an arithmetic number, because the mean of its divisors is an integer number (35295081822).

Almost surely, 21131110000103 is an apocalyptic number.

1131110000103 is a deficient number, since it is larger than the sum of its proper divisors (563053927353).

1131110000103 is a wasteful number, since it uses less digits than its factorization.

1131110000103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643332 (or 643303 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 1131110000103 its reverse (3010000111311), we get a palindrome (4141110111414).

The spelling of 1131110000103 in words is "one trillion, one hundred thirty-one billion, one hundred ten million, one hundred three", and thus it is an aban number.

Divisors: 1 3 17 29 41 51 87 123 493 697 841 1189 1479 2091 2523 3567 14297 20213 34481 42891 60639 103443 586177 643213 1758531 1929639 10934621 18653177 26371733 32803863 55959531 79115199 317104009 448319461 540942133 764780257 951312027 1344958383 1622826399 2294340771 9196016261 13001264369 22178627453 27588048783 39003793107 66535882359 377036666701 1131110000103