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2303131320 = 233457289163
BaseRepresentation
bin1000100101000110…
…1111111010111000
312221111202012020000
42021101233322320
514204100200240
61020312033000
7111034202400
oct21121577270
95844665200
102303131320
11a8206a716
12543392760
132a92004c9
1417bc45800
15d72de430
hex8946feb8

2303131320 has 480 divisors, whose sum is σ = 9161974800. Its totient is φ = 517321728.

The previous prime is 2303131307. The next prime is 2303131373. The reversal of 2303131320 is 231313032.

2303131320 is a `hidden beast` number, since 2 + 30 + 313 + 1 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2303131293 and 2303131302.

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 119 ways as a sum of consecutive naturals, for example, 14129559 + ... + 14129721.

Almost surely, 22303131320 is an apocalyptic number.

2303131320 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 2303131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580987400).

2303131320 is an abundant number, since it is smaller than the sum of its proper divisors (6858843480).

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

2303131320 is a wasteful number, since it uses less digits than its factorization.

2303131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2303131320 is about 47990.9503969238. The cubic root of 2303131320 is about 1320.6048880579.

Adding to 2303131320 its reverse (231313032), we get a palindrome (2534444352).

The spelling of 2303131320 in words is "two billion, three hundred three million, one hundred thirty-one thousand, three hundred twenty".