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10302250000 = 245672292
BaseRepresentation
bin10011001100000111…
…11101110000010000
3222120222111112011211
421212003331300100
5132044334000000
64422140545504
7513204452200
oct114603756020
928528445154
1010302250000
1144073959a9
121bb6252294
13c824c5423
146da360400
154046b37ba
hex2660fdc10

10302250000 has 315 divisors, whose sum is σ = 30059322267. Its totient is φ = 3410400000.

The previous prime is 10302249989. The next prime is 10302250001. The reversal of 10302250000 is 5220301.

The square root of 10302250000 is 101500.

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

It can be written as a sum of positive squares in 10 ways, for example, as 8730286096 + 1571963904 = 93436^2 + 39648^2 .

It is a super-2 number, since 2×103022500002 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10302250001) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 355249986 + ... + 355250014.

Almost surely, 210302250000 is an apocalyptic number.

10302250000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10302250000 is the 101500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10302250000

10302250000 is an abundant number, since it is smaller than the sum of its proper divisors (19757072267).

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

10302250000 is an frugal number, since it uses more digits than its factorization.

10302250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

Adding to 10302250000 its reverse (5220301), we get a palindrome (10307470301).

The spelling of 10302250000 in words is "ten billion, three hundred two million, two hundred fifty thousand".