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2525100201 = 3213190111353
BaseRepresentation
bin1001011010000001…
…1111100010101001
320111222102101021200
42112200133202221
520132411201301
61054321354413
7116400666111
oct22640374251
96458371250
102525100201
111086398178
125a5798a09
133131aa140
1419d506041
15eba37c86
hex9681f8a9

2525100201 has 24 divisors (see below), whose sum is σ = 3930346056. Its totient is φ = 1552953600.

The previous prime is 2525100197. The next prime is 2525100229. The reversal of 2525100201 is 1020015252.

It can be written as a sum of positive squares in 4 ways, for example, as 68906601 + 2456193600 = 8301^2 + 49560^2 .

It is not a de Polignac number, because 2525100201 - 22 = 2525100197 is a prime.

It is a super-2 number, since 2×25251002012 = 12752262050180480802, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2525100101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216741 + ... + 228093.

It is an arithmetic number, because the mean of its divisors is an integer number (163764419).

Almost surely, 22525100201 is an apocalyptic number.

It is an amenable number.

2525100201 is a deficient number, since it is larger than the sum of its proper divisors (1405245855).

2525100201 is a wasteful number, since it uses less digits than its factorization.

2525100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13273 (or 13270 counting only the distinct ones).

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

The square root of 2525100201 is about 50250.3751329281. The cubic root of 2525100201 is about 1361.7358531520.

Adding to 2525100201 its reverse (1020015252), we get a palindrome (3545115453).

The spelling of 2525100201 in words is "two billion, five hundred twenty-five million, one hundred thousand, two hundred one".

Divisors: 1 3 9 13 39 117 1901 5703 11353 17109 24713 34059 74139 102177 147589 222417 442767 1328301 21582053 64746159 194238477 280566689 841700067 2525100201