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30132310200 = 23352431167919
BaseRepresentation
bin11100000100000001…
…101001000010111000
32212202222020221211220
4130010001221002320
5443202332411300
621501555552040
72114464260606
oct340401510270
985688227756
1030132310200
11118629a3703
125a0b2bb620
132ac290c265
14165bc4a876
15bb5561da0
hex7040690b8

30132310200 has 96 divisors (see below), whose sum is σ = 95582572800. Its totient is φ = 7848408960.

The previous prime is 30132310199. The next prime is 30132310211. The reversal of 30132310200 is 201323103.

It is a super-2 number, since 2×301323102002 (a number of 22 digits) contains 22 as substring.

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 30132310200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 558160 + ... + 609759.

It is an arithmetic number, because the mean of its divisors is an integer number (995651800).

Almost surely, 230132310200 is an apocalyptic number.

30132310200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30132310200 is an abundant number, since it is smaller than the sum of its proper divisors (65450262600).

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

30132310200 is a wasteful number, since it uses less digits than its factorization.

30132310200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167981 (or 1167972 counting only the distinct ones).

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

Adding to 30132310200 its reverse (201323103), we get a palindrome (30333633303).

The spelling of 30132310200 in words is "thirty billion, one hundred thirty-two million, three hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 129 150 172 200 215 258 300 344 430 516 600 645 860 1032 1075 1290 1720 2150 2580 3225 4300 5160 6450 8600 12900 25800 1167919 2335838 3503757 4671676 5839595 7007514 9343352 11679190 14015028 17518785 23358380 28030056 29197975 35037570 46716760 50220517 58395950 70075140 87593925 100441034 116791900 140150280 150661551 175187850 200882068 233583800 251102585 301323102 350375700 401764136 502205170 602646204 700751400 753307755 1004410340 1205292408 1255512925 1506615510 2008820680 2511025850 3013231020 3766538775 5022051700 6026462040 7533077550 10044103400 15066155100 30132310200