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135204023123 = 1319607901787
BaseRepresentation
bin111110111101011001…
…0011010101101010011
3110220222121020000021222
41331322302122231103
54203344212214443
6142040055235255
712524324143301
oct1757262325523
9426877200258
10135204023123
1152381167794
1222253678b2b
13c999098960
1467886b9271
1537b4b6b468
hex1f7ac9ab53

135204023123 has 16 divisors (see below), whose sum is σ = 153520389120. Its totient is φ = 118040180256.

The previous prime is 135204023117. The next prime is 135204023153. The reversal of 135204023123 is 321320402531.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 135204023123 - 210 = 135204022099 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135204023092 and 135204023101.

It is not an unprimeable number, because it can be changed into a prime (135204023153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300965 + ... + 600822.

It is an arithmetic number, because the mean of its divisors is an integer number (9595024320).

Almost surely, 2135204023123 is an apocalyptic number.

135204023123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

135204023123 is a deficient number, since it is larger than the sum of its proper divisors (18316365997).

135204023123 is a wasteful number, since it uses less digits than its factorization.

135204023123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902426.

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 135204023123 its reverse (321320402531), we get a palindrome (456524425654).

The spelling of 135204023123 in words is "one hundred thirty-five billion, two hundred four million, twenty-three thousand, one hundred twenty-three".

Divisors: 1 13 19 247 607 7891 11533 149929 901787 11723231 17133953 222741389 547384709 7116001217 10400309471 135204023123