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211202002022 = 211416183103449
BaseRepresentation
bin1100010010110010011…
…1101100110001100110
3202012011000211100102012
43010230213230301212
511430020203031042
6241005211514222
721154532253014
oct3045447546146
9665130740365
10211202002022
118163002a110
1234b23158972
1316bbb05213b
14a317b358b4
155761b15e82
hex312c9ecc66

211202002022 has 128 divisors (see below), whose sum is σ = 368526412800. Its totient is φ = 89929728000.

The previous prime is 211202002021. The next prime is 211202002091. The reversal of 211202002022 is 220200202112.

211202002022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 211202001988 and 211202002006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211202002021) 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 63 ways as a sum of consecutive naturals, for example, 470382854 + ... + 470383302.

It is an arithmetic number, because the mean of its divisors is an integer number (2879112600).

Almost surely, 2211202002022 is an apocalyptic number.

211202002022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

211202002022 is a deficient number, since it is larger than the sum of its proper divisors (157324410778).

211202002022 is a wasteful number, since it uses less digits than its factorization.

211202002022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750.

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

Adding to 211202002022 its reverse (220200202112), we get a palindrome (431402204134).

The spelling of 211202002022 in words is "two hundred eleven billion, two hundred two million, two thousand, twenty-two".

Divisors: 1 2 11 22 41 61 82 83 103 122 166 206 449 451 671 898 902 913 1133 1342 1826 2266 2501 3403 4223 4939 5002 5063 6283 6806 8446 8549 9878 10126 12566 17098 18409 27389 27511 36818 37267 37433 46247 46453 54778 55022 55693 69113 74534 74866 92494 92906 94039 111386 138226 188078 202499 207583 257603 301279 350509 404998 409937 415166 508717 515206 521489 602558 701018 819874 1017434 1042978 1122949 1527947 1896127 2245898 2273287 2283413 2821067 2833633 3055894 3792254 3838501 3855599 4546574 4566826 5642134 5667266 5736379 7677002 7711198 11472758 12352439 16807417 20857397 21381049 24704878 25006157 31031737 33614834 41714794 42223511 42762098 50012314 62063474 84447022 93204767 115663747 157378541 186409534 231327494 234148561 235191539 314757082 468297122 470383078 1025252437 1272301217 1731163951 2050504874 2544602434 2575634171 3462327902 5151268342 9600091001 19200182002 105601001011 211202002022