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21113233020 = 223251111819029
BaseRepresentation
bin10011101010011100…
…100101111001111100
32000111102021100212100
4103222130211321330
5321214441424040
613411013505100
71345130343135
oct235234457174
960442240770
1021113233020
118a54962510
124112942190
131cb620c8b9
1410440aac8c
15838867b30
hex4ea725e7c

21113233020 has 144 divisors (see below), whose sum is σ = 69932509920. Its totient is φ = 5113459200.

The previous prime is 21113233007. The next prime is 21113233061. The reversal of 21113233020 is 2033231112.

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 = 21113232984 and 21113233002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2333866 + ... + 2342894.

It is an arithmetic number, because the mean of its divisors is an integer number (485642430).

Almost surely, 221113233020 is an apocalyptic number.

21113233020 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 21113233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34966254960).

21113233020 is an abundant number, since it is smaller than the sum of its proper divisors (48819276900).

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

21113233020 is a wasteful number, since it uses less digits than its factorization.

21113233020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10236 (or 10231 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21113233020 its reverse (2033231112), we get a palindrome (23146464132).

It can be divided in two parts, 211 and 13233020, that added together give a palindrome (13233231).

The spelling of 21113233020 in words is "twenty-one billion, one hundred thirteen million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1181 1980 2362 3543 4724 5905 7086 9029 10629 11810 12991 14172 17715 18058 21258 23620 25982 27087 35430 36116 38973 42516 45145 51964 53145 54174 64955 70860 77946 81261 90290 99319 106290 108348 116919 129910 135435 155892 162522 180580 194865 198638 212580 233838 259820 270870 297957 325044 389730 397276 406305 467676 496595 541740 584595 595914 779460 812610 893871 993190 1169190 1191828 1489785 1625220 1787742 1986380 2338380 2979570 3575484 4469355 5959140 8938710 10663249 17877420 21326498 31989747 42652996 53316245 63979494 95969241 106632490 117295739 127958988 159948735 191938482 213264980 234591478 319897470 351887217 383876964 469182956 479846205 586478695 639794940 703774434 959692410 1055661651 1172957390 1407548868 1759436085 1919384820 2111323302 2345914780 3518872170 4222646604 5278308255 7037744340 10556616510 21113233020