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11411112420 = 22325181350249
BaseRepresentation
bin10101010000010011…
…11100000111100100
31002110021000120110100
422220021330013210
5141332221044140
65124151424100
7552530566221
oct125011740744
932407016410
1011411112420
114926303724
122265685030
1310cb159c36
147a3728948
1546bbea530
hex2a827c1e4

11411112420 has 72 divisors (see below), whose sum is σ = 34805043000. Its totient is φ = 3026142720.

The previous prime is 11411112413. The next prime is 11411112439. The reversal of 11411112420 is 2421111411.

11411112420 is a `hidden beast` number, since 1 + 1 + 411 + 11 + 242 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9998244 + 11401114176 = 3162^2 + 106776^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11411112393 and 11411112402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142545 + ... + 207704.

It is an arithmetic number, because the mean of its divisors is an integer number (483403375).

Almost surely, 211411112420 is an apocalyptic number.

11411112420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11411112420 is an abundant number, since it is smaller than the sum of its proper divisors (23393930580).

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

11411112420 is a wasteful number, since it uses less digits than its factorization.

11411112420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350445 (or 350440 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11411112420 its reverse (2421111411), we get a palindrome (13832223831).

The spelling of 11411112420 in words is "eleven billion, four hundred eleven million, one hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 181 362 543 724 905 1086 1629 1810 2172 2715 3258 3620 5430 6516 8145 10860 16290 32580 350249 700498 1050747 1400996 1751245 2101494 3152241 3502490 4202988 5253735 6304482 7004980 10507470 12608964 15761205 21014940 31522410 63044820 63395069 126790138 190185207 253580276 316975345 380370414 570555621 633950690 760740828 950926035 1141111242 1267901380 1901852070 2282222484 2852778105 3803704140 5705556210 11411112420