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21020102200 = 23521752311821
BaseRepresentation
bin10011100100111001…
…010100111000111000
32000020221000211101201
4103210321110320320
5321022121232300
613353445423544
71342616630536
oct234471247070
960227024351
1021020102200
118a07332999
1240a770abb4
131c9cb328c6
141035987156
158305bd66a
hex4e4e54e38

21020102200 has 96 divisors (see below), whose sum is σ = 51849873360. Its totient is φ = 7897651200.

The previous prime is 21020102143. The next prime is 21020102273. The reversal of 21020102200 is 220102012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1772290 + ... + 1784110.

Almost surely, 221020102200 is an apocalyptic number.

21020102200 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 21020102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25924936680).

21020102200 is an abundant number, since it is smaller than the sum of its proper divisors (30829771160).

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

21020102200 is a wasteful number, since it uses less digits than its factorization.

21020102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12377 (or 12368 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 21020102200 its reverse (220102012), we get a palindrome (21240204212).

The spelling of 21020102200 in words is "twenty-one billion, twenty million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 523 680 850 1046 1700 2092 2615 3400 4184 5230 8891 10460 11821 13075 17782 20920 23642 26150 35564 44455 47284 52300 59105 71128 88910 94568 104600 118210 177820 200957 222275 236420 295525 355640 401914 444550 472840 591050 803828 889100 1004785 1182100 1607656 1778200 2009570 2364200 4019140 5023925 6182383 8038280 10047850 12364766 20095700 24729532 30911915 40191400 49459064 61823830 105100511 123647660 154559575 210201022 247295320 309119150 420402044 525502555 618238300 840804088 1051005110 1236476600 2102010220 2627512775 4204020440 5255025550 10510051100 21020102200