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302225421304345 = 57211233977492631
BaseRepresentation
bin100010010110111110101011…
…0111000010000001000011001
31110122002110122020202012001011
41010231331112320100020121
5304103130130323214340
62550440235234053521
7120442031452446100
oct10455752670201031
91418073566665034
10302225421304345
1188331099364740
1229a9138a11a2a1
13cc83972882176
14548bb0769d037
1524e189b9540ea
hex112df56e10219

302225421304345 has 96 divisors (see below), whose sum is σ = 462684214976256. Its totient is φ = 187399289548800.

The previous prime is 302225421304273. The next prime is 302225421304393. The reversal of 302225421304345 is 543403124522203.

It is not a de Polignac number, because 302225421304345 - 213 = 302225421296153 is a prime.

It is a super-2 number, since 2×3022254213043452 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 302225421304298 and 302225421304307.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 613246180 + ... + 613738810.

It is an arithmetic number, because the mean of its divisors is an integer number (4819627239336).

Almost surely, 2302225421304345 is an apocalyptic number.

302225421304345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

302225421304345 is a deficient number, since it is larger than the sum of its proper divisors (160458793671911).

302225421304345 is a wasteful number, since it uses less digits than its factorization.

302225421304345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493871 (or 493864 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

Adding to 302225421304345 its reverse (543403124522203), we get a palindrome (845628545826548).

The spelling of 302225421304345 in words is "three hundred two trillion, two hundred twenty-five billion, four hundred twenty-one million, three hundred four thousand, three hundred forty-five".

Divisors: 1 5 7 11 35 49 55 77 233 245 385 539 977 1165 1631 2563 2695 4885 6839 8155 10747 11417 12815 17941 34195 47873 53735 57085 75229 89705 125587 227641 239365 376145 492631 526603 627935 1138205 1593487 2463155 2504051 2633015 3448417 5418941 7967435 11154409 12520255 17242085 17528357 24138919 27094705 37932587 55772045 87641785 114783023 120694595 122698499 189662935 265528109 481300487 573915115 613492495 803481161 1262613253 1327640545 2406502435 3369103409 4017405805 5294305357 5624368127 6313066265 8838292771 16845517045 23583723863 26471526785 28121840635 37060137499 44191463855 61868049397 112143013471 117918619315 185300687495 259420962493 309340246985 560715067355 785001094297 1233573148181 1297104812465 3925005471485 5495007660079 6167865740905 8635012037267 27475038300395 43175060186335 60445084260869 302225421304345