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20221212313302 = 23711133571942827
BaseRepresentation
bin1001001100100000111100…
…01011010100011011010110
32122121010111001110100121120
410212100132023110123112
510122301020323011202
6111001255141424410
74154635330453620
oct446203613243326
978533431410546
1020221212313302
11649684a204180
12232700b10b106
13b38b101c3790
144dc9d763bc10
152510006e50bc
hex12641e2d46d6

20221212313302 has 128 divisors (see below), whose sum is σ = 54315581902848. Its totient is φ = 4846879900800.

The previous prime is 20221212313277. The next prime is 20221212313319. The reversal of 20221212313302 is 20331321212202.

It is a super-2 number, since 2×202212123133022 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20976013 + ... + 21918839.

It is an arithmetic number, because the mean of its divisors is an integer number (424340483616).

Almost surely, 220221212313302 is an apocalyptic number.

20221212313302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20221212313302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27157790951424).

20221212313302 is an abundant number, since it is smaller than the sum of its proper divisors (34094369589546).

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

20221212313302 is a wasteful number, since it uses less digits than its factorization.

20221212313302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946434.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 20221212313302 its reverse (20331321212202), we get a palindrome (40552533525504).

The spelling of 20221212313302 in words is "twenty trillion, two hundred twenty-one billion, two hundred twelve million, three hundred thirteen thousand, three hundred two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 3003 3571 6006 7142 10713 21426 24997 39281 46423 49994 74991 78562 92846 117843 139269 149982 235686 274967 278538 324961 510653 549934 649922 824901 942827 974883 1021306 1531959 1649802 1885654 1949766 2828481 3063918 3574571 5656962 6599789 7149142 10371097 10723713 12256751 13199578 19799367 20742194 21447426 24513502 31113291 36770253 39598734 62226582 72597679 73540506 85797257 134824261 145195358 171594514 217793037 257391771 269648522 404472783 435586074 514783542 808945566 943769827 1887539654 2831309481 3366835217 5662618962 6733670434 10100505651 20201011302 23567846519 37035187387 43768857821 47135693038 70703539557 74070374774 87537715642 111105562161 131306573463 141407079114 222211124322 259246311709 262613146926 306382004747 481457436031 518492623418 612764009494 777738935127 919146014241 962914872062 1444372308093 1555477870254 1838292028482 2888744616186 3370202052217 6740404104434 10110606156651 20221212313302