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30332223102032 = 24231371033582419
BaseRepresentation
bin1101110010110010001010…
…11000100001110001010000
310222101201202210001222021122
412321121011120201301100
512433430343103231112
6144302233025141412
76250300523225465
oct671310530416120
9128351683058248
1030332223102032
1197349071aa895
12349a70818a868
1313c0416092927
1476c131ca966c
15379026343872
hex1b9645621c50

30332223102032 has 80 divisors (see below), whose sum is σ = 61831365932160. Its totient is φ = 14386861479936.

The previous prime is 30332223102031. The next prime is 30332223102037. The reversal of 30332223102032 is 23020132223303.

It is a super-2 number, since 2×303322231020322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30332223101992 and 30332223102010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30332223102031) 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 15 ways as a sum of consecutive naturals, for example, 51788519 + ... + 52370937.

It is an arithmetic number, because the mean of its divisors is an integer number (772892074152).

Almost surely, 230332223102032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30332223102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30915682966080).

30332223102032 is an abundant number, since it is smaller than the sum of its proper divisors (31499142830128).

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

30332223102032 is a wasteful number, since it uses less digits than its factorization.

30332223102032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583620 (or 583614 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 30332223102032 its reverse (23020132223303), we get a palindrome (53352355325335).

The spelling of 30332223102032 in words is "thirty trillion, three hundred thirty-two billion, two hundred twenty-three million, one hundred two thousand, thirty-two".

Divisors: 1 2 4 8 16 23 46 92 137 184 274 368 548 1033 1096 2066 2192 3151 4132 6302 8264 12604 16528 23759 25208 47518 50416 95036 141521 190072 283042 380144 566084 582419 1132168 1164838 2264336 2329676 3254983 4659352 6509966 9318704 13019932 13395637 26039864 26791274 52079728 53582548 79791403 107165096 159582806 214330192 319165612 601638827 638331224 1203277654 1276662448 1835202269 2406555308 3670404538 4813110616 7340809076 9626221232 13837693021 14681618152 27675386042 29363236304 55350772084 82424519299 110701544168 164849038598 221403088336 329698077196 659396154392 1318792308784 1895763943877 3791527887754 7583055775508 15166111551016 30332223102032