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221010010100 = 2252111271582033
BaseRepresentation
bin1100110111010100111…
…0010001111111110100
3210010110120022210010122
43031311032101333310
512110112030310400
6245310335311112
721652556042525
oct3156516217764
9703416283118
10221010010100
1185803430810
12369bb97b498
1317ac202a309
14a9a859c84c
155b37bec685
hex3375391ff4

221010010100 has 72 divisors (see below), whose sum is σ = 527310916608. Its totient is φ = 79734412800.

The previous prime is 221010010097. The next prime is 221010010121. The reversal of 221010010100 is 1010010122.

It is a congruent number.

It is an unprimeable number.

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, 651317 + ... + 930716.

Almost surely, 2221010010100 is an apocalyptic number.

221010010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221010010100 is an abundant number, since it is smaller than the sum of its proper divisors (306300906508).

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

221010010100 is a wasteful number, since it uses less digits than its factorization.

221010010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582185 (or 1582178 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 221010010100 its reverse (1010010122), we get a palindrome (222020020222).

The spelling of 221010010100 in words is "two hundred twenty-one billion, ten million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 127 220 254 275 508 550 635 1100 1270 1397 2540 2794 3175 5588 6350 6985 12700 13970 27940 34925 69850 139700 1582033 3164066 6328132 7910165 15820330 17402363 31640660 34804726 39550825 69609452 79101650 87011815 158203300 174023630 200918191 348047260 401836382 435059075 803672764 870118150 1004590955 1740236300 2009181910 2210100101 4018363820 4420200202 5022954775 8840400404 10045909550 11050500505 20091819100 22101001010 44202002020 55252502525 110505005050 221010010100