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200232100320 = 25357893112153
BaseRepresentation
bin1011101001111011000…
…0110110000111100000
3201010211112000121021120
42322132300312013200
511240033404202240
6231552500452240
720315636525220
oct2723660660740
9633745017246
10200232100320
1177a1088964a
12329813aa080
1315b60435445
149996c5c080
15531da1ead0
hex2e9ec361e0

200232100320 has 384 divisors, whose sum is σ = 731618334720. Its totient is φ = 45086638080.

The previous prime is 200232100309. The next prime is 200232100361. The reversal of 200232100320 is 23001232002.

200232100320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 200232100320.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 93000364 + ... + 93002516.

It is an arithmetic number, because the mean of its divisors is an integer number (1905256080).

Almost surely, 2200232100320 is an apocalyptic number.

200232100320 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 200232100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365809167360).

200232100320 is an abundant number, since it is smaller than the sum of its proper divisors (531386234400).

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

200232100320 is a wasteful number, since it uses less digits than its factorization.

200232100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 200232100320 its reverse (23001232002), we get a palindrome (223233332322).

The spelling of 200232100320 in words is "two hundred billion, two hundred thirty-two million, one hundred thousand, three hundred twenty".