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30233201100 = 223524313717107
BaseRepresentation
bin11100001010000010…
…100000100111001100
32220001000002202010220
4130022002200213030
5443404144413400
621520002231340
72120130653304
oct341202404714
986030082126
1030233201100
1111904943513
125a39055550
132b0a7a540b
14166b3d0604
15bbe3407a0
hex70a0a09cc

30233201100 has 144 divisors (see below), whose sum is σ = 90167645568. Its totient is φ = 7816757760.

The previous prime is 30233201077. The next prime is 30233201111. The reversal of 30233201100 is 110233203.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30233201100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1758747 + ... + 1775853.

Almost surely, 230233201100 is an apocalyptic number.

30233201100 is a gapful number since it is divisible by the number (30) 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 30233201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45083822784).

30233201100 is an abundant number, since it is smaller than the sum of its proper divisors (59934444468).

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

30233201100 is a wasteful number, since it uses less digits than its factorization.

30233201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17304 (or 17297 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 30233201100 its reverse (110233203), we get a palindrome (30343434303).

The spelling of 30233201100 in words is "thirty billion, two hundred thirty-three million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 137 150 172 215 258 274 300 411 430 516 548 645 685 822 860 1075 1290 1370 1644 2055 2150 2580 2740 3225 3425 4110 4300 5891 6450 6850 8220 10275 11782 12900 13700 17107 17673 20550 23564 29455 34214 35346 41100 51321 58910 68428 70692 85535 88365 102642 117820 147275 171070 176730 205284 256605 294550 342140 353460 427675 441825 513210 589100 735601 855350 883650 1026420 1283025 1471202 1710700 1767300 2206803 2343659 2566050 2942404 3678005 4413606 4687318 5132100 7030977 7356010 8827212 9374636 11034015 11718295 14061954 14712020 18390025 22068030 23436590 28123908 35154885 36780050 44136060 46873180 55170075 58591475 70309770 73560100 100777337 110340150 117182950 140619540 175774425 201554674 220680300 234365900 302332011 351548850 403109348 503886685 604664022 703097700 1007773370 1209328044 1511660055 2015546740 2519433425 3023320110 5038866850 6046640220 7558300275 10077733700 15116600550 30233201100