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30032300032 = 21173167577
BaseRepresentation
bin11011111110000100…
…001000100000000000
32212112000001220200121
4123332010020200000
5443001232100112
621444024230024
72112141224020
oct337604104000
985460056617
1030032300032
11118114a5579
1259a190b314
132aa7c93c47
14164c855a80
15bab8a9407
hex6fe108800

30032300032 has 96 divisors (see below), whose sum is σ = 70843368960. Its totient is φ = 12455608320.

The previous prime is 30032300021. The next prime is 30032300047. The reversal of 30032300032 is 23000323003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 30032299979 and 30032300015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 410628 + ... + 478204.

It is an arithmetic number, because the mean of its divisors is an integer number (737951760).

Almost surely, 230032300032 is an apocalyptic number.

30032300032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30032300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35421684480).

30032300032 is an abundant number, since it is smaller than the sum of its proper divisors (40811068928).

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

30032300032 is an equidigital number, since it uses as much as digits as its factorization.

30032300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67637 (or 67617 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 16.

Adding to 30032300032 its reverse (23000323003), we get a palindrome (53032623035).

It can be divided in two parts, 3003 and 2300032, that multiplied together give a palindrome (6906996096).

The spelling of 30032300032 in words is "thirty billion, thirty-two million, three hundred thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 512 868 896 992 1024 1736 1792 1984 2048 3472 3584 3968 6944 7168 7936 13888 14336 15872 27776 31744 55552 63488 67577 111104 135154 222208 270308 444416 473039 540616 946078 1081232 1892156 2094887 2162464 3784312 4189774 4324928 7568624 8379548 8649856 14664209 15137248 16759096 17299712 29328418 30274496 33518192 34599424 58656836 60548992 67036384 69198848 117313672 121097984 134072768 138397696 234627344 242195968 268145536 469254688 484391936 536291072 938509376 968783872 1072582144 1877018752 2145164288 3754037504 4290328576 7508075008 15016150016 30032300032