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200013100320 = 253511197128081
BaseRepresentation
bin1011101001000110110…
…1011011010100100000
3201010021020221020202110
42322101231123110200
511234111323202240
6231515034515320
720310340205235
oct2722155332440
9633236836673
10200013100320
11779091a9710
123291bb95b40
1315b26c57c47
149975b3178c
1553096b0c80
hex2e91b5b520

200013100320 has 384 divisors, whose sum is σ = 733708523520. Its totient is φ = 45287424000.

The previous prime is 200013100297. The next prime is 200013100327. The reversal of 200013100320 is 23001310002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 200013100296 and 200013100305.

It is not an unprimeable number, because it can be changed into a prime (200013100327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7108680 + ... + 7136760.

It is an arithmetic number, because the mean of its divisors is an integer number (1910699280).

Almost surely, 2200013100320 is an apocalyptic number.

200013100320 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 200013100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366854261760).

200013100320 is an abundant number, since it is smaller than the sum of its proper divisors (533695423200).

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

200013100320 is a wasteful number, since it uses less digits than its factorization.

200013100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28200 (or 28192 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 200013100320 its reverse (23001310002), we get a palindrome (223014410322).

The spelling of 200013100320 in words is "two hundred billion, thirteen million, one hundred thousand, three hundred twenty".