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13131027 = 3271316033
BaseRepresentation
bin110010000101…
…110100010011
3220201010101100
4302011310103
511330143102
61145235443
7216416610
oct62056423
926633340
1013131027
117459598
124492b83
132949a50
141a5b507
151245a1c
hexc85d13

13131027 has 24 divisors (see below), whose sum is σ = 23345504. Its totient is φ = 6925824.

The previous prime is 13131023. The next prime is 13131031. The reversal of 13131027 is 72013131.

It is an interprime number because it is at equal distance from previous prime (13131023) and next prime (13131031).

It is not a de Polignac number, because 13131027 - 22 = 13131023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13131023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7198 + ... + 8835.

Almost surely, 213131027 is an apocalyptic number.

13131027 is a deficient number, since it is larger than the sum of its proper divisors (10214477).

13131027 is a wasteful number, since it uses less digits than its factorization.

13131027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16059 (or 16056 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 13131027 is about 3623.6758961033. The cubic root of 13131027 is about 235.9207995752.

Adding to 13131027 its reverse (72013131), we get a palindrome (85144158).

The spelling of 13131027 in words is "thirteen million, one hundred thirty-one thousand, twenty-seven".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 16033 48099 112231 144297 208429 336693 625287 1010079 1459003 1875861 4377009 13131027