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2303133120 = 263252772887
BaseRepresentation
bin1000100101000111…
…0000010111000000
312221111202021200200
42021101300113000
514204100224440
61020312045200
7111034210551
oct21121602700
95844667620
102303133120
11a82071002
12543393800
132a9201282
1417bc46328
15d72dec30
hex894705c0

2303133120 has 168 divisors, whose sum is σ = 7953170784. Its totient is φ = 611739648.

The previous prime is 2303133103. The next prime is 2303133149. The reversal of 2303133120 is 213313032.

2303133120 is a `hidden beast` number, since 230 + 313 + 3 + 120 = 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 = 2303133093 and 2303133102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 796317 + ... + 799203.

Almost surely, 22303133120 is an apocalyptic number.

2303133120 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 2303133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3976585392).

2303133120 is an abundant number, since it is smaller than the sum of its proper divisors (5650037664).

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

2303133120 is a wasteful number, since it uses less digits than its factorization.

2303133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3187 (or 3174 counting only the distinct ones).

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

The square root of 2303133120 is about 47990.9691504558. The cubic root of 2303133120 is about 1320.6052320950.

Adding to 2303133120 its reverse (213313032), we get a palindrome (2516446152).

The spelling of 2303133120 in words is "two billion, three hundred three million, one hundred thirty-three thousand, one hundred twenty".