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13130301 = 329374079
BaseRepresentation
bin110010000101…
…101000111101
3220201002101110
4302011220331
511330132201
61145232233
7216414522
oct62055075
926632343
1013130301
117458a98
124492679
132949612
141a5b149
1512456d6
hexc85a3d

13130301 has 16 divisors (see below), whose sum is σ = 18604800. Its totient is φ = 8221248.

The previous prime is 13130297. The next prime is 13130317. The reversal of 13130301 is 10303131.

13130301 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13130301 - 22 = 13130297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1180 + ... + 5258.

It is an arithmetic number, because the mean of its divisors is an integer number (1162800).

Almost surely, 213130301 is an apocalyptic number.

It is an amenable number.

13130301 is a deficient number, since it is larger than the sum of its proper divisors (5474499).

13130301 is a wasteful number, since it uses less digits than its factorization.

13130301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4148.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 13130301 is about 3623.5757201968. The cubic root of 13130301 is about 235.9164515615.

Adding to 13130301 its reverse (10303131), we get a palindrome (23433432).

It can be divided in two parts, 13130 and 301, that added together give a palindrome (13431).

The spelling of 13130301 in words is "thirteen million, one hundred thirty thousand, three hundred one".

Divisors: 1 3 29 37 87 111 1073 3219 4079 12237 118291 150923 354873 452769 4376767 13130301