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300133200100 = 22527357437159
BaseRepresentation
bin1000101111000010101…
…01010011000011100100
31001200200210120021221011
410113201111103003210
514404133044400400
6345513532032004
730453403051666
oct4274125230344
91050623507834
10300133200100
11106316404528
124a202002604
13223c15c7b36
1410752ad6536
157c192208ba
hex45e15530e4

300133200100 has 72 divisors (see below), whose sum is σ = 660418008320. Its totient is φ = 118371559680.

The previous prime is 300133200079. The next prime is 300133200113. The reversal of 300133200100 is 1002331003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41920321 + ... + 41927479.

Almost surely, 2300133200100 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 300133200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330209004160).

300133200100 is an abundant number, since it is smaller than the sum of its proper divisors (360284808220).

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

300133200100 is a wasteful number, since it uses less digits than its factorization.

300133200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12989 (or 12982 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 300133200100 its reverse (1002331003), we get a palindrome (301135531103).

The spelling of 300133200100 in words is "three hundred billion, one hundred thirty-three million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 3650 5743 7159 7300 11486 14318 22972 28636 28715 35795 57430 71590 114860 143180 143575 178975 287150 357950 419239 522607 574300 715900 838478 1045214 1676956 2090428 2096195 2613035 4192390 5226070 8384780 10452140 10480975 13065175 20961950 26130350 41114137 41923900 52260700 82228274 164456548 205570685 411141370 822282740 1027853425 2055706850 3001332001 4111413700 6002664002 12005328004 15006660005 30013320010 60026640020 75033300025 150066600050 300133200100