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20131120300 = 22522314995839
BaseRepresentation
bin10010101111111010…
…001000010010101100
31220221222020212111011
4102233322020102230
5312212031322200
613125331435004
71311603461554
oct225772102254
956858225434
1020131120300
1185a0546705
123a99a55a64
131b8a8c6305
14d8d898164
157cc51b5ba
hex4afe884ac

20131120300 has 72 divisors (see below), whose sum is σ = 45622080000. Its totient is φ = 7695885120.

The previous prime is 20131120297. The next prime is 20131120337. The reversal of 20131120300 is 302113102.

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, 3444781 + ... + 3450619.

It is an arithmetic number, because the mean of its divisors is an integer number (633640000).

Almost surely, 220131120300 is an apocalyptic number.

20131120300 is a gapful number since it is divisible by the number (20) 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 20131120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22811040000).

20131120300 is an abundant number, since it is smaller than the sum of its proper divisors (25490959700).

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

20131120300 is a wasteful number, since it uses less digits than its factorization.

20131120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7375 (or 7368 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 20131120300 its reverse (302113102), we get a palindrome (20433233402).

The spelling of 20131120300 in words is "twenty billion, one hundred thirty-one million, one hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 1499 2300 2998 5839 5996 7495 11678 14990 23356 29195 29980 34477 37475 58390 68954 74950 116780 134297 137908 145975 149900 172385 268594 291950 344770 537188 583900 671485 689540 861925 1342970 1723850 2685940 3357425 3447700 6714850 8752661 13429700 17505322 35010644 43763305 87526610 175053220 201311203 218816525 402622406 437633050 805244812 875266100 1006556015 2013112030 4026224060 5032780075 10065560150 20131120300