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5022501120 = 283357131597
BaseRepresentation
bin1001010110101110…
…10100100100000000
3110222000201111022000
410223113110210000
540241230013440
62150213344000
7235314361260
oct45327244400
913860644260
105022501120
11214808647a
12b82038000
13620709570
1435907b7a0
151e5ded730
hex12b5d4900

5022501120 has 576 divisors, whose sum is σ = 21949616640. Its totient is φ = 1059028992.

The previous prime is 5022501109. The next prime is 5022501137. The reversal of 5022501120 is 211052205.

5022501120 is a `hidden beast` number, since 502 + 2 + 50 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 5022501093 and 5022501102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3144162 + ... + 3145758.

Almost surely, 25022501120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5022501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10974808320).

5022501120 is an abundant number, since it is smaller than the sum of its proper divisors (16927115520).

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

5022501120 is a wasteful number, since it uses less digits than its factorization.

5022501120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 5022501120 is about 70869.6064614444. The cubic root of 5022501120 is about 1712.5372000373.

Adding to 5022501120 its reverse (211052205), we get a palindrome (5233553325).

The spelling of 5022501120 in words is "five billion, twenty-two million, five hundred one thousand, one hundred twenty".