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135043246143 = 331310129313001
BaseRepresentation
bin111110111000100110…
…1000110100000111111
3110220120101200200202000
41331301031012200333
54203032032334033
6142012113233343
712520332436611
oct1756115064077
9426511620660
10135043246143
11522a9434653
1222209862853
13c971995650
1467711c6db1
1537a59ada13
hex1f7134683f

135043246143 has 64 divisors (see below), whose sum is σ = 218346226560. Its totient is φ = 81993600000.

The previous prime is 135043246133. The next prime is 135043246159. The reversal of 135043246143 is 341642340531.

135043246143 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 4 + 32 + 4 + 614 + 3 = 666.

It is not a de Polignac number, because 135043246143 - 220 = 135042197567 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135043246098 and 135043246107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135043246133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10380643 + ... + 10393643.

It is an arithmetic number, because the mean of its divisors is an integer number (3411659790).

Almost surely, 2135043246143 is an apocalyptic number.

135043246143 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

135043246143 is a deficient number, since it is larger than the sum of its proper divisors (83302980417).

135043246143 is a wasteful number, since it uses less digits than its factorization.

135043246143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13417 (or 13411 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 135043246143 its reverse (341642340531), we get a palindrome (476685586674).

The spelling of 135043246143 in words is "one hundred thirty-five billion, forty-three million, two hundred forty-six thousand, one hundred forty-three".

Divisors: 1 3 9 13 27 39 101 117 293 303 351 879 909 1313 2637 2727 3809 3939 7911 11427 11817 13001 29593 34281 35451 39003 88779 102843 117009 169013 266337 351027 384709 507039 799011 1154127 1313101 1521117 3462381 3809293 3939303 4563351 10387143 11427879 11817909 17070313 34283637 35453727 49520809 51210939 102850911 148562427 153632817 384738593 445687281 460898451 1154215779 1337061843 3462647337 5001601709 10387942011 15004805127 45014415381 135043246143