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201331432525 = 5270011150301
BaseRepresentation
bin1011101110000001001…
…0011101110001001101
3201020200010121110120011
42323200102131301031
511244311321320100
6232253531153221
720355115640326
oct2734022356115
9636603543504
10201331432525
1178425388163
12330295a5811
1315ca7111182
149a5cc6544d
1553852c2bba
hex2ee049dc4d

201331432525 has 12 divisors (see below), whose sum is σ = 249686852724. Its totient is φ = 161042000000.

The previous prime is 201331432513. The next prime is 201331432537. The reversal of 201331432525 is 525234133102.

201331432525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201331432513) and next prime (201331432537).

It can be written as a sum of positive squares in 6 ways, for example, as 1001785801 + 200329646724 = 31651^2 + 447582^2 .

It is not a de Polignac number, because 201331432525 - 211 = 201331430477 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 400126 + ... + 750175.

It is an arithmetic number, because the mean of its divisors is an integer number (20807237727).

Almost surely, 2201331432525 is an apocalyptic number.

201331432525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

201331432525 is a deficient number, since it is larger than the sum of its proper divisors (48355420199).

201331432525 is a wasteful number, since it uses less digits than its factorization.

201331432525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157312 (or 1157307 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 201331432525 its reverse (525234133102), we get a palindrome (726565565627).

The spelling of 201331432525 in words is "two hundred one billion, three hundred thirty-one million, four hundred thirty-two thousand, five hundred twenty-five".

Divisors: 1 5 25 7001 35005 175025 1150301 5751505 28757525 8053257301 40266286505 201331432525