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11311131020 = 2257691116923
BaseRepresentation
bin10101000100011001…
…00010100110001100
31002012021212222202112
422202030202212030
5141131122143040
65110220443152
7550205012240
oct124214424614
932167788675
1011311131020
114884925172
1222380a94b8
1310b3521a47
14794340420
1546304b365
hex2a232298c

11311131020 has 48 divisors (see below), whose sum is σ = 27186233088. Its totient is φ = 3872456640.

The previous prime is 11311131011. The next prime is 11311131023. The reversal of 11311131020 is 2013111311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11311130986 and 11311131004.

It is not an unprimeable number, because it can be changed into a prime (11311131023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38279 + ... + 155201.

It is an arithmetic number, because the mean of its divisors is an integer number (566379856).

Almost surely, 211311131020 is an apocalyptic number.

11311131020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11311131020 is an abundant number, since it is smaller than the sum of its proper divisors (15875102068).

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

11311131020 is a wasteful number, since it uses less digits than its factorization.

11311131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117630 (or 117628 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 11311131020 its reverse (2013111311), we get a palindrome (13324242331).

The spelling of 11311131020 in words is "eleven billion, three hundred eleven million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 691 1382 2764 3455 4837 6910 9674 13820 19348 24185 48370 96740 116923 233846 467692 584615 818461 1169230 1636922 2338460 3273844 4092305 8184610 16369220 80793793 161587586 323175172 403968965 565556551 807937930 1131113102 1615875860 2262226204 2827782755 5655565510 11311131020