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21013100220 = 22357217214153
BaseRepresentation
bin10011100100011110…
…100111011010111100
32000020102212002111010
4103210132213122330
5321013323201340
613353035355220
71342503255600
oct234436473274
960212762433
1021013100220
118a03390232
1240a52b2b10
131c9b550818
141034a83500
1582eb88b80
hex4e47a76bc

21013100220 has 144 divisors (see below), whose sum is σ = 68498928288. Its totient is φ = 4799047680.

The previous prime is 21013100209. The next prime is 21013100249. The reversal of 21013100220 is 2200131012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21013100196 and 21013100205.

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, 5057664 + ... + 5061816.

It is an arithmetic number, because the mean of its divisors is an integer number (475687002).

Almost surely, 221013100220 is an apocalyptic number.

21013100220 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 21013100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34249464144).

21013100220 is an abundant number, since it is smaller than the sum of its proper divisors (47485828068).

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

21013100220 is a wasteful number, since it uses less digits than its factorization.

21013100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5900 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21013100220 its reverse (2200131012), we get a palindrome (23213231232).

The spelling of 21013100220 in words is "twenty-one billion, thirteen million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 1721 2940 3442 4153 5163 6884 8306 8605 10326 12047 12459 16612 17210 20652 20765 24094 24918 25815 29071 34420 36141 41530 48188 49836 51630 58142 60235 62295 72282 83060 84329 87213 103260 116284 120470 124590 144564 145355 168658 174426 180705 203497 240940 249180 252987 290710 337316 348852 361410 406994 421645 436065 505974 581420 610491 722820 813988 843290 872130 1011948 1017485 1220982 1264935 1686580 1744260 2034970 2441964 2529870 3052455 4069940 5059740 6104910 7147313 12209820 14294626 21441939 28589252 35736565 42883878 50031191 71473130 85767756 100062382 107209695 142946260 150093573 200124764 214419390 250155955 300187146 350218337 428838780 500311910 600374292 700436674 750467865 1000623820 1050655011 1400873348 1500935730 1751091685 2101310022 3001871460 3502183370 4202620044 5253275055 7004366740 10506550110 21013100220