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33230132300 = 22521393117687
BaseRepresentation
bin11110111100101010…
…111001010001001100
310011202212100121212202
4132330222321101030
51021023403213200
623133221021032
72254321315121
oct367452712114
9104685317782
1033230132300
11131025a8262
126534854778
133197653ba1
141873438748
15ce74ca1d5
hex7bcab944c

33230132300 has 72 divisors (see below), whose sum is σ = 72871169280. Its totient is φ = 13152283200.

The previous prime is 33230132269. The next prime is 33230132329. The reversal of 33230132300 is 323103233.

It is a super-2 number, since 2×332301323002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 4319057 + ... + 4326743.

Almost surely, 233230132300 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 33230132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36435584640).

33230132300 is an abundant number, since it is smaller than the sum of its proper divisors (39641036980).

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

33230132300 is a wasteful number, since it uses less digits than its factorization.

33230132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8151 (or 8144 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 33230132300 its reverse (323103233), we get a palindrome (33553235533).

The spelling of 33230132300 in words is "thirty-three billion, two hundred thirty million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139 278 311 556 622 695 1244 1390 1555 2780 3110 3475 6220 6950 7687 7775 13900 15374 15550 30748 31100 38435 43229 76870 86458 153740 172916 192175 216145 384350 432290 768700 864580 1068493 1080725 2136986 2161450 2390657 4273972 4322900 4781314 5342465 9562628 10684930 11953285 21369860 23906570 26712325 47813140 53424650 59766425 106849300 119532850 239065700 332301323 664602646 1329205292 1661506615 3323013230 6646026460 8307533075 16615066150 33230132300