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135100100343 = 313193135316661
BaseRepresentation
bin111110111010010010…
…1111110111011110111
3110220201100200012001010
41331310211332323313
54203141111202333
6142021504003303
712521622622365
oct1756445767367
9426640605033
10135100100343
1152328536a9a
1222224900533
13c9806b07a0
146778986635
1537aa98e563
hex1f7497eef7

135100100343 has 64 divisors (see below), whose sum is σ = 211396792320. Its totient is φ = 76001587200.

The previous prime is 135100100327. The next prime is 135100100363. The reversal of 135100100343 is 343001001531.

It is not a de Polignac number, because 135100100343 - 24 = 135100100327 is a prime.

It is a super-2 number, since 2×1351001003432 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135100100363) 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, 8100433 + ... + 8117093.

It is an arithmetic number, because the mean of its divisors is an integer number (3303074880).

Almost surely, 2135100100343 is an apocalyptic number.

135100100343 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

135100100343 is a deficient number, since it is larger than the sum of its proper divisors (76296691977).

135100100343 is a wasteful number, since it uses less digits than its factorization.

135100100343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17080.

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 135100100343 its reverse (343001001531), we get a palindrome (478101101874).

The spelling of 135100100343 in words is "one hundred thirty-five billion, one hundred million, one hundred thousand, three hundred forty-three".

Divisors: 1 3 13 19 31 39 57 93 247 353 403 589 741 1059 1209 1767 4589 6707 7657 10943 13767 16661 20121 22971 32829 49983 87191 142259 207917 216593 261573 316559 426777 516491 623751 649779 949677 1549473 2702921 4115267 5881333 6714383 8108763 9813329 12345801 17643999 20143149 29439987 76457329 111745327 127573277 182321323 229371987 335235981 382719831 546963969 1452689251 2370177199 3464105137 4358067753 7110531597 10392315411 45033366781 135100100343