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1001300422500 = 223254729532
BaseRepresentation
bin11101001001000100010…
…01111110111101100100
310112201112100101201210100
432210202021332331210
5112401130402010000
62043554023024100
7132225105106200
oct16444211767544
93481470351710
101001300422500
11356715a91634
1214208559b030
1373564820c01
143666b037b00
151b0a59dba00
hexe92227ef64

1001300422500 has 405 divisors, whose sum is σ = 3683062043661. Its totient is φ = 228628512000.

The previous prime is 1001300422481. The next prime is 1001300422531. The reversal of 1001300422500 is 52240031001.

The square root of 1001300422500 is 1000650.

It is a perfect power (a square), and thus also a powerful number.

1001300422500 is a `hidden beast` number, since 10 + 0 + 130 + 0 + 4 + 22 + 500 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 836555353956 + 164745068544 = 914634^2 + 405888^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1050682024 + ... + 1050682976.

Almost surely, 21001300422500 is an apocalyptic number.

1001300422500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001300422500 is the 1000650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001300422500

1001300422500 is an abundant number, since it is smaller than the sum of its proper divisors (2681761621161).

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

1001300422500 is an frugal number, since it uses more digits than its factorization.

1001300422500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 970 counting only the distinct ones).

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

Adding to 1001300422500 its reverse (52240031001), we get a palindrome (1053540453501).

The spelling of 1001300422500 in words is "one trillion, one billion, three hundred million, four hundred twenty-two thousand, five hundred".