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1052310000 = 2435475011
BaseRepresentation
bin111110101110001…
…111100111110000
32201100002212221110
4332232033213300
54123342410000
6252230353320
735035326120
oct7656174760
92640085843
101052310000
114a0002095
122544bb840
1313a023b51
149da86c80
15625b5850
hex3eb8f9f0

1052310000 has 200 divisors, whose sum is σ = 3883057024. Its totient is φ = 240480000.

The previous prime is 1052309989. The next prime is 1052310001. The reversal of 1052310000 is 132501.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×10523100002 = 2214712672200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052310001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 207495 + ... + 212505.

Almost surely, 21052310000 is an apocalyptic number.

1052310000 is a gapful number since it is divisible by the number (10) 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 1052310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941528512).

1052310000 is an abundant number, since it is smaller than the sum of its proper divisors (2830747024).

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

1052310000 is an equidigital number, since it uses as much as digits as its factorization.

1052310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5049 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1052310000 is about 32439.3279831750. The cubic root of 1052310000 is about 1017.1411682149.

Adding to 1052310000 its reverse (132501), we get a palindrome (1052442501).

The spelling of 1052310000 in words is "one billion, fifty-two million, three hundred ten thousand".