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11124412020 = 223459770793
BaseRepresentation
bin10100101110001000…
…10000111001110100
31001201021112200110000
422113010100321310
5140240322141040
65035510431300
7542446641051
oct122704207164
931637480400
1011124412020
114799493447
1221a5662530
131083937827
14777618028
15451967130
hex297110e74

11124412020 has 120 divisors (see below), whose sum is σ = 35257960584. Its totient is φ = 2935885824.

The previous prime is 11124412007. The next prime is 11124412021. The reversal of 11124412020 is 2021442111.

11124412020 is a `hidden beast` number, since 11 + 12 + 441 + 202 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2178576 + 11122233444 = 1476^2 + 105462^2 .

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 = 11124411984 and 11124412002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11124412021) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 121744 + ... + 192536.

Almost surely, 211124412020 is an apocalyptic number.

11124412020 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 11124412020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17628980292).

11124412020 is an abundant number, since it is smaller than the sum of its proper divisors (24133548564).

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

11124412020 is a wasteful number, since it uses less digits than its factorization.

11124412020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70911 (or 70900 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11124412020 its reverse (2021442111), we get a palindrome (13145854131).

The spelling of 11124412020 in words is "eleven billion, one hundred twenty-four million, four hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 97 108 135 162 180 194 270 291 324 388 405 485 540 582 810 873 970 1164 1455 1620 1746 1940 2619 2910 3492 4365 5238 5820 7857 8730 10476 13095 15714 17460 26190 31428 39285 52380 70793 78570 141586 157140 212379 283172 353965 424758 637137 707930 849516 1061895 1274274 1415860 1911411 2123790 2548548 3185685 3822822 4247580 5734233 6371370 6866921 7645644 9557055 11468466 12742740 13733842 19114110 20600763 22936932 27467684 28671165 34334605 38228220 41201526 57342330 61802289 68669210 82403052 103003815 114684660 123604578 137338420 185406867 206007630 247209156 309011445 370813734 412015260 556220601 618022890 741627468 927034335 1112441202 1236045780 1854068670 2224882404 2781103005 3708137340 5562206010 11124412020