Search a number
-
+
135120516230 = 25731611020779
BaseRepresentation
bin111110111010111001…
…1110111010010000110
3110220202210002102101002
41331311303313102012
54203211323004410
6142023513333302
712522261303050
oct1756563672206
9426683072332
10135120516230
1152339010827
122222b707232
13c9849ab2ab
14677b57c8d0
1537ac6737a5
hex1f75cf7486

135120516230 has 64 divisors (see below), whose sum is σ = 291632762880. Its totient is φ = 44097609600.

The previous prime is 135120516229. The next prime is 135120516233. The reversal of 135120516230 is 32615021531.

It is a super-3 number, since 3×1351205162303 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135120516193 and 135120516202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135120516233) 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 31 ways as a sum of consecutive naturals, for example, 378020 + ... + 642759.

It is an arithmetic number, because the mean of its divisors is an integer number (4556761920).

Almost surely, 2135120516230 is an apocalyptic number.

135120516230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135120516230 is an abundant number, since it is smaller than the sum of its proper divisors (156512246650).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135120516230 is a wasteful number, since it uses less digits than its factorization.

135120516230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020885.

The product of its (nonzero) digits is 5400, while the sum is 29.

Adding to 135120516230 its reverse (32615021531), we get a palindrome (167735537761).

The spelling of 135120516230 in words is "one hundred thirty-five billion, one hundred twenty million, five hundred sixteen thousand, two hundred thirty".

Divisors: 1 2 5 7 10 14 31 35 61 62 70 122 155 217 305 310 427 434 610 854 1085 1891 2135 2170 3782 4270 9455 13237 18910 26474 66185 132370 1020779 2041558 5103895 7145453 10207790 14290906 31644149 35727265 62267519 63288298 71454530 124535038 158220745 221509043 311337595 316441490 435872633 443018086 622675190 871745266 1107545215 1930293089 2179363165 2215090430 3860586178 4358726330 9651465445 13512051623 19302930890 27024103246 67560258115 135120516230