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10301235025 = 525323832
BaseRepresentation
bin10011001100000000…
…00101111101010001
3222120220120221220011
421212000011331101
5132044104010100
64422103114521
7513163024114
oct114600057521
928526527804
1010301235025
114406862384
121bb5a42a41
13c8222b453
146da17857b
15404562bba
hex266005f51

10301235025 has 27 divisors (see below), whose sum is σ = 13053169969. Its totient is φ = 8064386720.

The previous prime is 10301235023. The next prime is 10301235053. The reversal of 10301235025 is 52053210301.

The square root of 10301235025 is 101495.

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

It can be written as a sum of positive squares in 4 ways, for example, as 77598481 + 10223636544 = 8809^2 + 101112^2 .

It is not a de Polignac number, because 10301235025 - 21 = 10301235023 is a prime.

It is a super-2 number, since 2×103012350252 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10301234987 and 10301235005.

It is not an unprimeable number, because it can be changed into a prime (10301235023) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26895984 + ... + 26896366.

Almost surely, 210301235025 is an apocalyptic number.

10301235025 is the 101495-th square number.

10301235025 is the 50748-th centered octagonal number.

It is an amenable number.

10301235025 is a deficient number, since it is larger than the sum of its proper divisors (2751934944).

10301235025 is an frugal number, since it uses more digits than its factorization.

10301235025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

Multiplying 10301235025 by its product of nonzero digits (900), we get a square (9271111522500 = 30448502).

Adding to 10301235025 its reverse (52053210301), we get a palindrome (62354445326).

The spelling of 10301235025 in words is "ten billion, three hundred one million, two hundred thirty-five thousand, twenty-five".

Divisors: 1 5 25 53 265 383 1325 1915 2809 9575 14045 20299 70225 101495 146689 507475 733445 1075847 3667225 5379235 7774517 26896175 38872585 194362925 412049401 2060247005 10301235025