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202212213021 = 3371382300453
BaseRepresentation
bin1011110001010011001…
…0011000000100011101
3201022221111221202021000
42330110302120010131
511303112311304041
6232521153300513
720416002310440
oct2742462300435
9638844852230
10202212213021
1178837582625
1233234564739
13160b7738770
149b03c1b657
1553d77a4bb6
hex2f14c9811d

202212213021 has 32 divisors (see below), whose sum is σ = 368706033920. Its totient is φ = 106661385792.

The previous prime is 202212213013. The next prime is 202212213023. The reversal of 202212213021 is 120312212202.

It is not a de Polignac number, because 202212213021 - 23 = 202212213013 is a prime.

It is a super-3 number, since 3×2022122130213 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202212212985 and 202212213003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202212213023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41147770 + ... + 41152683.

It is an arithmetic number, because the mean of its divisors is an integer number (11522063560).

Almost surely, 2202212213021 is an apocalyptic number.

202212213021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

202212213021 is a deficient number, since it is larger than the sum of its proper divisors (166493820899).

202212213021 is a wasteful number, since it uses less digits than its factorization.

202212213021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82300482 (or 82300476 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 202212213021 its reverse (120312212202), we get a palindrome (322524425223).

The spelling of 202212213021 in words is "two hundred two billion, two hundred twelve million, two hundred thirteen thousand, twenty-one".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 819 2457 82300453 246901359 576103171 740704077 1069905889 1728309513 2222112231 3209717667 5184928539 7489341223 9629153001 15554785617 22468023669 28887459003 67404071007 202212213021