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20211124440 = 233513109118861
BaseRepresentation
bin10010110100101011…
…010100100011011000
31221011112210111112110
4102310223110203120
5312343021440230
613141310312320
71313564503023
oct226453244330
957145714473
1020211124440
11863171aa31
123b007b86a0
131ba1358540
14d9a3621ba
157d45714b0
hex4b4ad48d8

20211124440 has 128 divisors (see below), whose sum is σ = 65897092800. Its totient is φ = 4929361920.

The previous prime is 20211124433. The next prime is 20211124481. The reversal of 20211124440 is 4442111202.

It is a super-2 number, since 2×202111244402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110610 + ... + 229470.

Almost surely, 220211124440 is an apocalyptic number.

20211124440 is a gapful number since it is divisible by the number (20) 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 20211124440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32948546400).

20211124440 is an abundant number, since it is smaller than the sum of its proper divisors (45685968360).

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

20211124440 is a wasteful number, since it uses less digits than its factorization.

20211124440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118997 (or 118993 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 20211124440 its reverse (4442111202), we get a palindrome (24653235642).

The spelling of 20211124440 in words is "twenty billion, two hundred eleven million, one hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 109 120 130 156 195 218 260 312 327 390 436 520 545 654 780 872 1090 1308 1417 1560 1635 2180 2616 2834 3270 4251 4360 5668 6540 7085 8502 11336 13080 14170 17004 21255 28340 34008 42510 56680 85020 118861 170040 237722 356583 475444 594305 713166 950888 1188610 1426332 1545193 1782915 2377220 2852664 3090386 3565830 4635579 4754440 6180772 7131660 7725965 9271158 12361544 12955849 14263320 15451930 18542316 23177895 25911698 30903860 37084632 38867547 46355790 51823396 61807720 64779245 77735094 92711580 103646792 129558490 155470188 168426037 185423160 194337735 259116980 310940376 336852074 388675470 505278111 518233960 673704148 777350940 842130185 1010556222 1347408296 1554701880 1684260370 2021112444 2526390555 3368520740 4042224888 5052781110 6737041480 10105562220 20211124440