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103333317025 = 5223922692
BaseRepresentation
bin110000000111100100…
…1010100100110100001
3100212201110212101120211
41200033021110212201
53143111312121100
6115245355334121
710315460462641
oct1401711244641
9325643771524
10103333317025
113a906a66564
121803a151341
13998a288793
145003a30521
152a4bbbe1ba
hex180f2549a1

103333317025 has 27 divisors (see below), whose sum is σ = 129151790521. Its totient is φ = 82014742880.

The previous prime is 103333317013. The next prime is 103333317037. The reversal of 103333317025 is 520713333301.

The square root of 103333317025 is 321455.

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

It is an interprime number because it is at equal distance from previous prime (103333317013) and next prime (103333317037).

It can be written as a sum of positive squares in 4 ways, for example, as 39635633569 + 63697683456 = 199087^2 + 252384^2 .

It is not a de Polignac number, because 103333317025 - 231 = 101185833377 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 384138591 + ... + 384138859.

Almost surely, 2103333317025 is an apocalyptic number.

103333317025 is the 321455-th square number.

103333317025 is the 160728-th centered octagonal number.

It is an amenable number.

103333317025 is a deficient number, since it is larger than the sum of its proper divisors (25818473496).

103333317025 is an frugal number, since it uses more digits than its factorization.

103333317025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 31.

The spelling of 103333317025 in words is "one hundred three billion, three hundred thirty-three million, three hundred seventeen thousand, twenty-five".

Divisors: 1 5 25 239 269 1195 1345 5975 6725 57121 64291 72361 285605 321455 361805 1428025 1607275 1809025 15365549 17294279 76827745 86471395 384138725 432356975 4133332681 20666663405 103333317025