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21031100220 = 223513217911587
BaseRepresentation
bin10011100101100011…
…010001111100111100
32000021200201120211210
4103211203101330330
5321032430201340
613354521244420
71343112254664
oct234543217474
960250646753
1021031100220
118a12564969
1240ab333710
131ca21b3800
14103720b1a4
15831542180
hex4e58d1f3c

21031100220 has 144 divisors (see below), whose sum is σ = 64127064960. Its totient is φ = 5147520768.

The previous prime is 21031100149. The next prime is 21031100221. The reversal of 21031100220 is 2200113012.

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 = 21031100196 and 21031100205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21031100221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1809267 + ... + 1820853.

It is an arithmetic number, because the mean of its divisors is an integer number (445326840).

Almost surely, 221031100220 is an apocalyptic number.

21031100220 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 21031100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32063532480).

21031100220 is an abundant number, since it is smaller than the sum of its proper divisors (43095964740).

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

21031100220 is a wasteful number, since it uses less digits than its factorization.

21031100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11804 (or 11789 counting only the distinct ones).

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

Adding to 21031100220 its reverse (2200113012), we get a palindrome (23231213232).

The spelling of 21031100220 in words is "twenty-one billion, thirty-one million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 179 195 260 338 358 390 507 537 676 716 780 845 895 1014 1074 1690 1790 2028 2148 2327 2535 2685 3380 3580 4654 5070 5370 6981 9308 10140 10740 11587 11635 13962 23174 23270 27924 30251 34761 34905 46348 46540 57935 60502 69522 69810 90753 115870 121004 139044 139620 150631 151255 173805 181506 231740 301262 302510 347610 363012 451893 453765 602524 605020 695220 753155 903786 907530 1506310 1807572 1815060 1958203 2074073 2259465 3012620 3916406 4148146 4518930 5874609 6222219 7832812 8296292 9037860 9791015 10370365 11749218 12444438 19582030 20740730 23498436 24888876 26962949 29373045 31111095 39164060 41481460 53925898 58746090 62222190 80888847 107851796 117492180 124444380 134814745 161777694 269629490 323555388 350518337 404444235 539258980 701036674 808888470 1051555011 1402073348 1617776940 1752591685 2103110022 3505183370 4206220044 5257775055 7010366740 10515550110 21031100220