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32302122030 = 234541995177
BaseRepresentation
bin11110000101010110…
…110100010000101110
310002101012010211010000
4132011112310100232
51012123320401110
622501150325130
72222322335613
oct360526642056
9102335124100
1032302122030
1112776784422
126315ab97a6
13307a301099
1417c60aa50a
15c90cb91c0
hex7855b442e

32302122030 has 80 divisors (see below), whose sum is σ = 87065027280. Its totient is φ = 8593250688.

The previous prime is 32302122023. The next prime is 32302122067. The reversal of 32302122030 is 3022120323.

It is a happy number.

It is a super-2 number, since 2×323021220302 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 32302121994 and 32302122012.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 291802 + ... + 386978.

It is an arithmetic number, because the mean of its divisors is an integer number (1088312841).

Almost surely, 232302122030 is an apocalyptic number.

32302122030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32302122030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43532513640).

32302122030 is an abundant number, since it is smaller than the sum of its proper divisors (54762905250).

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

32302122030 is a wasteful number, since it uses less digits than its factorization.

32302122030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95615 (or 95606 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 32302122030 its reverse (3022120323), we get a palindrome (35324242353).

The spelling of 32302122030 in words is "thirty-two billion, three hundred two million, one hundred twenty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 419 810 838 1257 2095 2514 3771 4190 6285 7542 11313 12570 18855 22626 33939 37710 56565 67878 95177 113130 169695 190354 285531 339390 475885 571062 856593 951770 1427655 1713186 2569779 2855310 4282965 5139558 7709337 8565930 12848895 15418674 25697790 38546685 39879163 77093370 79758326 119637489 199395815 239274978 358912467 398791630 598187445 717824934 1076737401 1196374890 1794562335 2153474802 3230212203 3589124670 5383687005 6460424406 10767374010 16151061015 32302122030