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221010101020 = 225192356324683
BaseRepresentation
bin1100110111010100111…
…0101000001100011100
3210010110120111101212001
43031311032220030130
512110112041213040
6245310341252044
721652556601562
oct3156516501434
9703416441761
10221010101020
1185803493055
12369bba04024
1317ac205c807
14a9a85c3a32
155b37c1959a
hex33753a831c

221010101020 has 48 divisors (see below), whose sum is σ = 488589171840. Its totient is φ = 83744248896.

The previous prime is 221010101017. The next prime is 221010101027. The reversal of 221010101020 is 20101010122.

221010101020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 221010100988 and 221010101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221010101027) 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 15 ways as a sum of consecutive naturals, for example, 8941599 + ... + 8966281.

It is an arithmetic number, because the mean of its divisors is an integer number (10178941080).

Almost surely, 2221010101020 is an apocalyptic number.

221010101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221010101020 is an abundant number, since it is smaller than the sum of its proper divisors (267579070820).

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

221010101020 is a wasteful number, since it uses less digits than its factorization.

221010101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48274 (or 48272 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 221010101020 its reverse (20101010122), we get a palindrome (241111111142).

The spelling of 221010101020 in words is "two hundred twenty-one billion, ten million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 23563 24683 47126 49366 94252 98732 117815 123415 235630 246830 447697 468977 471260 493660 895394 937954 1790788 1875908 2238485 2344885 4476970 4689770 8953940 9379540 581605529 1163211058 2326422116 2908027645 5816055290 11050505051 11632110580 22101010102 44202020204 55252525255 110505050510 221010101020