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21101002020 = 22325783201769
BaseRepresentation
bin10011101001101101…
…111011110100100100
32000110120020222002100
4103221231323310210
5321203324031040
613405455412100
71344621362220
oct235155736444
960416228070
1021101002020
118a48a6914a
12410a824030
131cb3819717
141042605780
1583774db30
hex4e9b7bd24

21101002020 has 144 divisors (see below), whose sum is σ = 74031834240. Its totient is φ = 4764953088.

The previous prime is 21101002019. The next prime is 21101002031. The reversal of 21101002020 is 2020010112.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21101001993 and 21101002011.

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, 3696 + ... + 205464.

It is an arithmetic number, because the mean of its divisors is an integer number (514109960).

Almost surely, 221101002020 is an apocalyptic number.

21101002020 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 21101002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37015917120).

21101002020 is an abundant number, since it is smaller than the sum of its proper divisors (52930832220).

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

21101002020 is a wasteful number, since it uses less digits than its factorization.

21101002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201874 (or 201869 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21101002020 its reverse (2020010112), we get a palindrome (23121012132).

The spelling of 21101002020 in words is "twenty-one billion, one hundred one million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 83 84 90 105 126 140 166 180 210 249 252 315 332 415 420 498 581 630 747 830 996 1162 1245 1260 1494 1660 1743 2324 2490 2905 2988 3486 3735 4980 5229 5810 6972 7470 8715 10458 11620 14940 17430 20916 26145 34860 52290 104580 201769 403538 605307 807076 1008845 1210614 1412383 1815921 2017690 2421228 2824766 3026535 3631842 4035380 4237149 5649532 6053070 7061915 7263684 8474298 9079605 12106140 12711447 14123830 16746827 16948596 18159210 21185745 25422894 28247660 33493654 36318420 42371490 50240481 50845788 63557235 66987308 83734135 84742980 100480962 117227789 127114470 150721443 167468270 200961924 234455578 251202405 254228940 301442886 334936540 351683367 468911156 502404810 586138945 602885772 703366734 753607215 1004809620 1055050101 1172277890 1406733468 1507214430 1758416835 2110100202 2344555780 3014428860 3516833670 4220200404 5275250505 7033667340 10550501010 21101002020