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20312315232 = 25311432101103
BaseRepresentation
bin10010111010101101…
…010101010101100000
31221102121012112012120
4102322231111111200
5313044423041412
613155323224240
71316233554636
oct227255252540
957377175176
1020312315232
118683855090
123b2a678080
131bb92c8051
14da9983356
157dd3adb8c
hex4bab55560

20312315232 has 288 divisors, whose sum is σ = 60724774656. Its totient is φ = 5894784000.

The previous prime is 20312315213. The next prime is 20312315263. The reversal of 20312315232 is 23251321302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 197206893 + ... + 197206995.

It is an arithmetic number, because the mean of its divisors is an integer number (210849912).

Almost surely, 220312315232 is an apocalyptic number.

20312315232 is a gapful number since it is divisible by the number (22) 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 20312315232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30362387328).

20312315232 is an abundant number, since it is smaller than the sum of its proper divisors (40412459424).

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

20312315232 is a wasteful number, since it uses less digits than its factorization.

20312315232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 20312315232 its reverse (23251321302), we get a palindrome (43563636534).

The spelling of 20312315232 in words is "twenty billion, three hundred twelve million, three hundred fifteen thousand, two hundred thirty-two".