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11411200020 = 223511171017041
BaseRepresentation
bin10101010000010100…
…10001100000010100
31002110021012000121210
422220022101200110
5141332231400040
65124153341420
7552531412503
oct125012214024
932407160553
1011411200020
114926363520
122265707870
1310cb18aa7c
147a374c83a
1546bc16480
hex2a8291814

11411200020 has 96 divisors (see below), whose sum is σ = 36906420096. Its totient is φ = 2603622400.

The previous prime is 11411200019. The next prime is 11411200027. The reversal of 11411200020 is 2000211411.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 11411199969 and 11411200005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11411200027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 497301 + ... + 519740.

It is an arithmetic number, because the mean of its divisors is an integer number (384441876).

Almost surely, 211411200020 is an apocalyptic number.

11411200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11411200020 is an abundant number, since it is smaller than the sum of its proper divisors (25495220076).

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

11411200020 is a wasteful number, since it uses less digits than its factorization.

11411200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017081 (or 1017079 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11411200020 its reverse (2000211411), we get a palindrome (13411411431).

The spelling of 11411200020 in words is "eleven billion, four hundred eleven million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3740 5610 11220 1017041 2034082 3051123 4068164 5085205 6102246 10170410 11187451 12204492 15255615 17289697 20340820 22374902 30511230 33562353 34579394 44749804 51869091 55937255 61022460 67124706 69158788 86448485 103738182 111874510 134249412 167811765 172896970 190186667 207476364 223749020 259345455 335623530 345793940 380373334 518690910 570560001 671247060 760746668 950933335 1037381820 1141120002 1901866670 2282240004 2852800005 3803733340 5705600010 11411200020