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11031130004420 = 2251743974399469
BaseRepresentation
bin1010000010000110001010…
…0101011101101111000100
31110001120021102020202100002
42200201202211131233010
52421213223240120140
635243344155340432
72215654453642601
oct240414245355704
943046242222302
1011031130004420
113573304340a99
1212a1aa7151718
13620300943b06
142a1ca3acd6a8
15141e295e4415
hexa086295dbc4

11031130004420 has 96 divisors (see below), whose sum is σ = 24617249395200. Its totient is φ = 4137817872384.

The previous prime is 11031130004383. The next prime is 11031130004429. The reversal of 11031130004420 is 2440003113011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11031130004392 and 11031130004401.

It is not an unprimeable number, because it can be changed into a prime (11031130004429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110850446 + ... + 110949914.

It is an arithmetic number, because the mean of its divisors is an integer number (256429681200).

Almost surely, 211031130004420 is an apocalyptic number.

11031130004420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11031130004420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12308624697600).

11031130004420 is an abundant number, since it is smaller than the sum of its proper divisors (13586119390780).

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

11031130004420 is a wasteful number, since it uses less digits than its factorization.

11031130004420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100677 (or 100675 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11031130004420 its reverse (2440003113011), we get a palindrome (13471133117431).

The spelling of 11031130004420 in words is "eleven trillion, thirty-one billion, one hundred thirty million, four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 439 743 878 1486 1756 2195 2972 3715 4390 7430 7463 8780 12631 14860 14926 25262 29852 37315 50524 63155 74630 99469 126310 149260 198938 252620 326177 397876 497345 652354 994690 1304708 1630885 1690973 1989380 3261770 3381946 5545009 6523540 6763892 8454865 11090018 16909730 22180036 27725045 33819460 43666891 55450090 73905467 87333782 110900180 147810934 174667564 218334455 295621868 369527335 436668910 739054670 742337147 873337820 1256392939 1478109340 1484674294 2512785878 2969348588 3711685735 5025571756 6281964695 7423371470 12563929390 14846742940 25127858780 32444500013 64889000026 129778000052 162222500065 324445000130 551556500221 648890000260 1103113000442 2206226000884 2757782501105 5515565002210 11031130004420