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5100102225 = 3652234
BaseRepresentation
bin1001011111111110…
…10110001001010001
3111011102202001000000
410233333112021101
540421111232400
62202024520213
7240246103461
oct45777261121
914142661000
105100102225
112187969319
12ba4020069
13633809a8a
143654bbba1
151ecb2b600
hex12ffd6251

5100102225 has 105 divisors (see below), whose sum is σ = 9912844363. Its totient is φ = 2601791280.

The previous prime is 5100102223. The next prime is 5100102229. The reversal of 5100102225 is 5222010015.

The square root of 5100102225 is 71415.

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

It can be written as a sum of positive squares in only one way, i.e., 1836036801 + 3264065424 = 42849^2 + 57132^2 .

It is not a de Polignac number, because 5100102225 - 21 = 5100102223 is a prime.

It is a super-2 number, since 2×51001022252 = 52022085410899901250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5100102198 and 5100102207.

It is not an unprimeable number, because it can be changed into a prime (5100102223) 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 104 ways as a sum of consecutive naturals, for example, 221743564 + ... + 221743586.

Almost surely, 25100102225 is an apocalyptic number.

5100102225 is the 71415-th square number.

5100102225 is the 35708-th centered octagonal number.

It is an amenable number.

5100102225 is a deficient number, since it is larger than the sum of its proper divisors (4812742138).

5100102225 is an frugal number, since it uses more digits than its factorization.

5100102225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The cubic root of 5100102225 is about 1721.3121213002.

The spelling of 5100102225 in words is "five billion, one hundred million, one hundred two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 27 45 69 75 81 115 135 207 225 243 345 405 529 575 621 675 729 1035 1215 1587 1725 1863 2025 2645 3105 3645 4761 5175 5589 6075 7935 9315 12167 13225 14283 15525 16767 18225 23805 27945 36501 39675 42849 46575 60835 71415 83835 109503 119025 128547 139725 182505 214245 279841 304175 328509 357075 385641 419175 547515 642735 839523 912525 985527 1071225 1399205 1642545 1928205 2518569 2737575 2956581 3213675 4197615 4927635 6996025 7555707 8212725 8869743 9641025 12592845 14782905 20988075 22667121 24638175 37778535 44348715 62964225 68001363 73914525 113335605 188892675 204004089 221743575 340006815 566678025 1020020445 1700034075 5100102225