Search a number
-
+
131020243140432 = 24341355718716707
BaseRepresentation
bin11101110010100110000111…
…000011001111111101010000
3122011220102011000110210110210
4131302212013003033331100
5114133113424220443212
61142353511353124120
736411620523256602
oct3562460703177520
9564812130423423
10131020243140432
1138824411620148
12128407263b9640
135815204708a19
14244d5b0cdd172
15102320d0a753c
hex7729870cff50

131020243140432 has 80 divisors (see below), whose sum is σ = 346821797109312. Its totient is φ = 42596228183040.

The previous prime is 131020243140401. The next prime is 131020243140497. The reversal of 131020243140432 is 234041342020131.

It is a super-2 number, since 2×1310202431404322 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131020243140432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2358178 + ... + 16358529.

Almost surely, 2131020243140432 is an apocalyptic number.

131020243140432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131020243140432 is an abundant number, since it is smaller than the sum of its proper divisors (215801553968880).

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

131020243140432 is a wasteful number, since it uses less digits than its factorization.

131020243140432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18720316 (or 18720310 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 131020243140432 its reverse (234041342020131), we get a palindrome (365061585160563).

The spelling of 131020243140432 in words is "one hundred thirty-one trillion, twenty billion, two hundred forty-three million, one hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 3557 7114 10671 14228 21342 28456 42684 56912 85368 145837 170736 291674 437511 583348 875022 1166696 1750044 2333392 3500088 7000176 18716707 37433414 56150121 74866828 112300242 149733656 224600484 299467312 449200968 767384987 898401936 1534769974 2302154961 3069539948 4604309922 6139079896 9208619844 12278159792 18417239688 36834479376 66575326799 133150653598 199725980397 266301307196 399451960794 532602614392 798903921588 1065205228784 1597807843176 2729588398759 3195615686352 5459176797518 8188765196277 10918353595036 16377530392554 21836707190072 32755060785108 43673414380144 65510121570216 131020243140432