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242132313131 = 17791000918013
BaseRepresentation
bin1110000110000000110…
…1011110010000101011
3212010222121122221201022
43201200031132100223
512431341333010011
6303122315443055
723331156463112
oct3414015362053
9763877587638
10242132313131
11937624186a5
123ab1575648b
1319aaa094387
14ba0d94ac79
1564722578db
hex386035e42b

242132313131 has 16 divisors (see below), whose sum is σ = 259661001600. Its totient is φ = 224969591808.

The previous prime is 242132313119. The next prime is 242132313193. The reversal of 242132313131 is 131313231242.

Adding to 242132313131 its reverse (131313231242), we get a palindrome (373445544373).

It is a happy number.

It is not a de Polignac number, because 242132313131 - 26 = 242132313067 is a prime.

It is a super-2 number, since 2×2421323131312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 242132313131.

It is not an unprimeable number, because it can be changed into a prime (242132313331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13433081 + ... + 13451093.

It is an arithmetic number, because the mean of its divisors is an integer number (16228812600).

Almost surely, 2242132313131 is an apocalyptic number.

242132313131 is a deficient number, since it is larger than the sum of its proper divisors (17528688469).

242132313131 is a wasteful number, since it uses less digits than its factorization.

242132313131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28118.

The product of its digits is 2592, while the sum is 26.

The spelling of 242132313131 in words is "two hundred forty-two billion, one hundred thirty-two million, three hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 17 79 1343 10009 18013 170153 306221 790711 1423027 13442087 24191459 180292117 3064965989 14243077243 242132313131