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2303132001120 = 253257324190911
BaseRepresentation
bin100001100000111101010…
…111010110001101100000
322011011210020012000112200
4201200331113112031200
5300213303243013440
64522013315453200
7325252521000126
oct41407527261540
98134706160480
102303132001120
11808830a76965
123124422b7200
13139252213a82
147d687959916
153ed9a606c30
hex2183d5d6360

2303132001120 has 288 divisors, whose sum is σ = 8000247999744. Its totient is φ = 603235123200.

The previous prime is 2303132001097. The next prime is 2303132001139. The reversal of 2303132001120 is 211002313032.

2303132001120 is a `hidden beast` number, since 2 + 30 + 313 + 200 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 2303132001093 and 2303132001102.

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 47 ways as a sum of consecutive naturals, for example, 25288465 + ... + 25379375.

It is an arithmetic number, because the mean of its divisors is an integer number (27778638888).

Almost surely, 22303132001120 is an apocalyptic number.

2303132001120 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 2303132001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4000123999872).

2303132001120 is an abundant number, since it is smaller than the sum of its proper divisors (5697115998624).

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

2303132001120 is a wasteful number, since it uses less digits than its factorization.

2303132001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91246 (or 91235 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2303132001120 its reverse (211002313032), we get a palindrome (2514134314152).

The spelling of 2303132001120 in words is "two trillion, three hundred three billion, one hundred thirty-two million, one thousand, one hundred twenty".