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21020222100200 = 2352719911493741
BaseRepresentation
bin1001100011110001001101…
…10111110001001011101000
32202102111212102100001120212
410301320212313301023220
510223343403324201300
6112412320130240252
74266442461546161
oct461704667611350
982374772301525
1021020222100200
11677469841a134
122435a39a26088
13b96276c7b82b
14529554282768
15266bb6ada935
hex131e26df12e8

21020222100200 has 96 divisors (see below), whose sum is σ = 49610398302720. Its totient is φ = 8281294560000.

The previous prime is 21020222100127. The next prime is 21020222100203. The reversal of 21020222100200 is 200122202012.

It is a super-3 number, since 3×210202221002003 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21020222100203) 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 23 ways as a sum of consecutive naturals, for example, 13325330 + ... + 14819070.

It is an arithmetic number, because the mean of its divisors is an integer number (516774982320).

Almost surely, 221020222100200 is an apocalyptic number.

21020222100200 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 21020222100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24805199151360).

21020222100200 is an abundant number, since it is smaller than the sum of its proper divisors (28590176202520).

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

21020222100200 is a wasteful number, since it uses less digits than its factorization.

21020222100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494819 (or 1494810 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 21020222100200 its reverse (200122202012), we get a palindrome (21220344302212).

The spelling of 21020222100200 in words is "twenty-one trillion, twenty billion, two hundred twenty-two million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 200 284 355 568 710 991 1420 1775 1982 2840 3550 3964 4955 7100 7928 9910 14200 19820 24775 39640 49550 70361 99100 140722 198200 281444 351805 562888 703610 1407220 1493741 1759025 2814440 2987482 3518050 5974964 7036100 7468705 11949928 14072200 14937410 29874820 37343525 59749640 74687050 106055611 149374100 212111222 298748200 424222444 530278055 848444888 1060556110 1480297331 2121112220 2651390275 2960594662 4242224440 5302780550 5921189324 7401486655 10605561100 11842378648 14802973310 21211122200 29605946620 37007433275 59211893240 74014866550 105101110501 148029733100 210202221002 296059466200 420404442004 525505552505 840808884008 1051011105010 2102022210020 2627527762525 4204044420040 5255055525050 10510111050100 21020222100200