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136314123 = 31122329563
BaseRepresentation
bin10000001111111…
…11110100001011
3100111111110211020
420013333310023
5234344022443
621305403523
73243436161
oct1007776413
9314443736
10136314123
116aa44900
12397995a3
132231975a
1414165231
15be79583
hex81ffd0b

136314123 has 48 divisors (see below), whose sum is σ = 216034560. Its totient is φ = 76162240.

The previous prime is 136314119. The next prime is 136314149. The reversal of 136314123 is 321413631.

It is a happy number.

It is not a de Polignac number, because 136314123 - 22 = 136314119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 136314093 and 136314102.

It is not an unprimeable number, because it can be changed into a prime (136314173) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241840 + ... + 242402.

It is an arithmetic number, because the mean of its divisors is an integer number (4500720).

Almost surely, 2136314123 is an apocalyptic number.

136314123 is a deficient number, since it is larger than the sum of its proper divisors (79720437).

136314123 is a wasteful number, since it uses less digits than its factorization.

136314123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 629 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 136314123 is about 11675.3639343705. The cubic root of 136314123 is about 514.6519444204.

Adding to 136314123 its reverse (321413631), we get a palindrome (457727754).

It can be divided in two parts, 13 and 6314123, that added together give a palindrome (6314136).

The spelling of 136314123 in words is "one hundred thirty-six million, three hundred fourteen thousand, one hundred twenty-three".

Divisors: 1 3 11 23 29 33 69 87 121 253 319 363 563 667 759 957 1689 2001 2783 3509 6193 7337 8349 10527 12949 16327 18579 22011 38847 48981 68123 80707 142439 179597 204369 242121 375521 427317 538791 1126563 1566829 1975567 4130731 4700487 5926701 12392193 45438041 136314123