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30232333032 = 23311229335531
BaseRepresentation
bin11100001001111111…
…001100101011101000
32220000221110122101020
4130021333030223220
5443403434124112
621515531452440
72120120406426
oct341177145350
986027418336
1030232333032
1111904400300
125a388b7120
132b0a560275
14166b246116
15bbe21d48c
hex709fccae8

30232333032 has 96 divisors (see below), whose sum is σ = 83362335840. Its totient is φ = 9129788800.

The previous prime is 30232332983. The next prime is 30232333051. The reversal of 30232333032 is 23033323203.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 30232332993 and 30232333011.

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 23 ways as a sum of consecutive naturals, for example, 833107 + ... + 868637.

It is an arithmetic number, because the mean of its divisors is an integer number (868357665).

Almost surely, 230232333032 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 30232333032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41681167920).

30232333032 is an abundant number, since it is smaller than the sum of its proper divisors (53130002808).

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

30232333032 is a wasteful number, since it uses less digits than its factorization.

30232333032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35855 (or 35840 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 24.

Adding to 30232333032 its reverse (23033323203), we get a palindrome (53265656235).

The spelling of 30232333032 in words is "thirty billion, two hundred thirty-two million, three hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 293 363 484 586 726 879 968 1172 1452 1758 2344 2904 3223 3516 6446 7032 9669 12892 19338 25784 35453 35531 38676 70906 71062 77352 106359 106593 141812 142124 212718 213186 283624 284248 390841 425436 426372 781682 850872 852744 1172523 1563364 2345046 3126728 4299251 4690092 8598502 9380184 10410583 12897753 17197004 20821166 25795506 31231749 34394008 41642332 51591012 62463498 83284664 103182024 114516413 124926996 229032826 249853992 343549239 458065652 687098478 916131304 1259680543 1374196956 2519361086 2748393912 3779041629 5038722172 7558083258 10077444344 15116166516 30232333032