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5301142200 = 233652103353
BaseRepresentation
bin1001110111111100…
…10000001010111000
3111200110000221000000
410323332100022320
541324043022300
62234005513000
7245236652034
oct47376201270
914613027000
105301142200
1122803a1662
12103b412760
13666369543
143840911c4
152105ddc00
hex13bf902b8

5301142200 has 336 divisors, whose sum is σ = 18711547920. Its totient is φ = 1395947520.

The previous prime is 5301142199. The next prime is 5301142201. The reversal of 5301142200 is 22411035.

5301142200 is a `hidden beast` number, since 530 + 114 + 2 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5301142199) and next prime (5301142201).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5301142201) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 15017224 + ... + 15017576.

Almost surely, 25301142200 is an apocalyptic number.

5301142200 is a gapful number since it is divisible by the number (50) 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 5301142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9355773960).

5301142200 is an abundant number, since it is smaller than the sum of its proper divisors (13410405720).

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

5301142200 is a wasteful number, since it uses less digits than its factorization.

5301142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5301142200 is about 72808.9431320082. The cubic root of 5301142200 is about 1743.6386401309.

Adding to 5301142200 its reverse (22411035), we get a palindrome (5323553235).

The spelling of 5301142200 in words is "five billion, three hundred one million, one hundred forty-two thousand, two hundred".