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30357700200 = 23325216865389
BaseRepresentation
bin11100010001011101…
…011011111001101000
32220100200100221210200
4130101131123321220
5444133032401300
621540210512200
72123202123402
oct342135337150
986320327720
1030357700200
1111969148533
125a72895660
132b2a516119
14167db5bb72
15bca234200
hex71175be68

30357700200 has 72 divisors (see below), whose sum is σ = 101951282550. Its totient is φ = 8095386240.

The previous prime is 30357700183. The next prime is 30357700213. The reversal of 30357700200 is 200775303.

It can be written as a sum of positive squares in 3 ways, for example, as 28020751236 + 2336948964 = 167394^2 + 48342^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×303577002002 (a number of 22 digits) contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 8430895 + ... + 8434494.

Almost surely, 230357700200 is an apocalyptic number.

30357700200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30357700200 is an abundant number, since it is smaller than the sum of its proper divisors (71593582350).

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

30357700200 is a wasteful number, since it uses less digits than its factorization.

30357700200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16865411 (or 16865399 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 27.

The spelling of 30357700200 in words is "thirty billion, three hundred fifty-seven million, seven hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 16865389 33730778 50596167 67461556 84326945 101192334 134923112 151788501 168653890 202384668 252980835 303577002 337307780 404769336 421634725 505961670 607154004 674615560 758942505 843269450 1011923340 1214308008 1264904175 1517885010 1686538900 2023846680 2529808350 3035770020 3373077800 3794712525 5059616700 6071540040 7589425050 10119233400 15178850100 30357700200