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21100012020220 = 22571715595686691
BaseRepresentation
bin1001100110000101110101…
…01110001010000111111100
32202201010211010010222000211
410303002322232022013330
510231200311034121340
6112513113421202204
74305265652641540
oct463027256120774
982633733128024
1021100012020220
1167a5512788aa1
1224493a7400364
13ba095170a263
1452d363173a20
15268cd690d5ea
hex1330bab8a1fc

21100012020220 has 96 divisors (see below), whose sum is σ = 53653256616960. Its totient is φ = 6804374799360.

The previous prime is 21100012020193. The next prime is 21100012020221. The reversal of 21100012020220 is 2202021000112.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 21100012020220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100012020221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 867075 + ... + 6553765.

It is an arithmetic number, because the mean of its divisors is an integer number (558888089760).

Almost surely, 221100012020220 is an apocalyptic number.

21100012020220 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 21100012020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26826628308480).

21100012020220 is an abundant number, since it is smaller than the sum of its proper divisors (32553244596740).

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

21100012020220 is a wasteful number, since it uses less digits than its factorization.

21100012020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5688283 (or 5688281 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21100012020220 its reverse (2202021000112), we get a palindrome (23302033020332).

The spelling of 21100012020220 in words is "twenty-one trillion, one hundred billion, twelve million, twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 1559 2380 3118 6236 7795 10913 15590 21826 26503 31180 43652 53006 54565 106012 109130 132515 185521 218260 265030 371042 530060 742084 927605 1855210 3710420 5686691 11373382 22746764 28433455 39806837 56866910 79613674 96673747 113733820 159227348 193347494 199034185 386694988 398068370 483368735 676716229 796136740 966737470 1353432458 1933474940 2706864916 3383581145 6767162290 8865551269 13534324580 17731102538 35462205076 44327756345 62058858883 88655512690 124117717766 150714371573 177311025380 248235435532 301428743146 310294294415 602857486292 620588588830 753571857865 1055000601011 1241177177660 1507143715730 2110001202022 3014287431460 4220002404044 5275003005055 10550006010110 21100012020220