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203312323323120 = 2435112323340135837
BaseRepresentation
bin101110001110100101010110…
…110011110110010011110000
3222122212110122101100001001110
4232032211112303312103300
5203122032114232314440
62000224220353433320
760552554622110064
oct5616452663662360
9878773571301043
10203312323323120
11598662aa1a1390
121a97735986b840
13895a367a57b4b
14382c5245a1aa4
151878947ccc080
hexb8e956cf64f0

203312323323120 has 640 divisors, whose sum is σ = 722355691419648. Its totient is φ = 46824177664000.

The previous prime is 203312323323059. The next prime is 203312323323163. The reversal of 203312323323120 is 21323323213302.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5673233842 + ... + 5673269678.

Almost surely, 2203312323323120 is an apocalyptic number.

203312323323120 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 203312323323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361177845709824).

203312323323120 is an abundant number, since it is smaller than the sum of its proper divisors (519043368096528).

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

203312323323120 is a wasteful number, since it uses less digits than its factorization.

203312323323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36521 (or 36515 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 203312323323120 its reverse (21323323213302), we get a palindrome (224635646536422).

The spelling of 203312323323120 in words is "two hundred three trillion, three hundred twelve billion, three hundred twenty-three million, three hundred twenty-three thousand, one hundred twenty".