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11431000020 = 22351119247977
BaseRepresentation
bin10101010010101011…
…10011011111010100
31002111122102222010010
422221111303133110
5141402314000040
65130142000220
7553161616446
oct125125633724
932448388103
1011431000020
114936557560
122270276070
13110230114b
147a6224496
1546d827e80
hex2a95737d4

11431000020 has 144 divisors (see below), whose sum is σ = 36851709888. Its totient is φ = 2625246720.

The previous prime is 11431000019. The next prime is 11431000027. The reversal of 11431000020 is 2000013411.

It is a happy number.

It is a super-2 number, since 2×114310000202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11431000027) 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 47 ways as a sum of consecutive naturals, for example, 214272 + ... + 262248.

It is an arithmetic number, because the mean of its divisors is an integer number (255914652).

Almost surely, 211431000020 is an apocalyptic number.

11431000020 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 11431000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18425854944).

11431000020 is an abundant number, since it is smaller than the sum of its proper divisors (25420709868).

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

11431000020 is a wasteful number, since it uses less digits than its factorization.

11431000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48038 (or 48017 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11431000020 its reverse (2000013411), we get a palindrome (13431013431).

The spelling of 11431000020 in words is "eleven billion, four hundred thirty-one million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 361 380 418 570 627 660 722 836 1045 1083 1140 1254 1444 1805 2090 2166 2508 3135 3610 3971 4180 4332 5415 6270 7220 7942 10830 11913 12540 15884 19855 21660 23826 39710 47652 47977 59565 79420 95954 119130 143931 191908 238260 239885 287862 479770 527747 575724 719655 911563 959540 1055494 1439310 1583241 1823126 2110988 2638735 2734689 2878620 3166482 3646252 4557815 5277470 5469378 6332964 7916205 9115630 10027193 10554940 10938756 13673445 15832410 17319697 18231260 20054386 27346890 30081579 31664820 34639394 40108772 50135965 51959091 54693780 60163158 69278788 86598485 100271930 103918182 120326316 150407895 173196970 190516667 200543860 207836364 259795455 300815790 346393940 381033334 519590910 571550001 601631580 762066668 952583335 1039181820 1143100002 1905166670 2286200004 2857750005 3810333340 5715500010 11431000020