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32131005324 = 2231110313211789
BaseRepresentation
bin11101111011001010…
…000011101110001100
310001221021011012010020
4131323022003232030
51011301014132244
622432154542140
72215144016235
oct357312035614
9101837135106
1032131005324
1112699129960
126288737950
133050a1a6b2
1417ab48608c
15c80c67d19
hex77b283b8c

32131005324 has 96 divisors (see below), whose sum is σ = 82690782720. Its totient is φ = 9629452800.

The previous prime is 32131005311. The next prime is 32131005371. The reversal of 32131005324 is 42350013123.

It is a junction number, because it is equal to n+sod(n) for n = 32131005294 and 32131005303.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 17959422 + ... + 17961210.

It is an arithmetic number, because the mean of its divisors is an integer number (861362320).

Almost surely, 232131005324 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 32131005324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41345391360).

32131005324 is an abundant number, since it is smaller than the sum of its proper divisors (50559777396).

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

32131005324 is a wasteful number, since it uses less digits than its factorization.

32131005324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3231 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 32131005324 its reverse (42350013123), we get a palindrome (74481018447).

The spelling of 32131005324 in words is "thirty-two billion, one hundred thirty-one million, five thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 103 132 206 309 412 618 1133 1236 1321 1789 2266 2642 3399 3578 3963 4532 5284 5367 6798 7156 7926 10734 13596 14531 15852 19679 21468 29062 39358 43593 58124 59037 78716 87186 118074 136063 174372 184267 236148 272126 368534 408189 544252 552801 737068 816378 1105602 1496693 1632756 2026937 2211204 2363269 2993386 4053874 4490079 4726538 5986772 6080811 7089807 8107748 8980158 9453076 12161622 14179614 17960316 24323244 25995959 28359228 51991918 77987877 103983836 155975754 243416707 311951508 486833414 730250121 973666828 1460500242 2677583777 2921000484 5355167554 8032751331 10710335108 16065502662 32131005324