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1021010022221 = 721011632295527
BaseRepresentation
bin11101101101110001111…
…00001000111101001101
310121121101221111010202012
432312320330020331031
5113212012031202341
62101013500111005
7133523402665100
oct16667074107515
93547357433665
101021010022221
1136400a5a3622
12145a66235465
1375385cac357
14375ba928737
151b85aee30eb
hexedb8f08f4d

1021010022221 has 48 divisors (see below), whose sum is σ = 1212312954240. Its totient is φ = 857255011200.

The previous prime is 1021010022211. The next prime is 1021010022223. The reversal of 1021010022221 is 1222200101201.

It is not a de Polignac number, because 1021010022221 - 26 = 1021010022157 is a prime.

It is a super-2 number, since 2×10210100222212 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1021010022196 and 1021010022205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021010022223) 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 47 ways as a sum of consecutive naturals, for example, 184728560 + ... + 184734086.

It is an arithmetic number, because the mean of its divisors is an integer number (25256519880).

Almost surely, 21021010022221 is an apocalyptic number.

It is an amenable number.

1021010022221 is a deficient number, since it is larger than the sum of its proper divisors (191302932019).

1021010022221 is a wasteful number, since it uses less digits than its factorization.

1021010022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6034 (or 6027 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1021010022221 its reverse (1222200101201), we get a palindrome (2243210123422).

The spelling of 1021010022221 in words is "one trillion, twenty-one billion, ten million, twenty-two thousand, two hundred twenty-one".

Divisors: 1 7 49 101 163 229 707 1141 1603 4949 5527 7987 11221 16463 23129 37327 38689 115241 161903 261289 270823 558227 806687 900901 1133321 1265683 1829023 3770027 3907589 6306307 8859781 26390189 27353123 44144149 62018467 90991001 127833983 184731323 206306329 636937007 894837881 1444144303 4458559049 6263865167 10109010121 20836939229 145858574603 1021010022221