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135144317300 = 22524350236257
BaseRepresentation
bin111110111011100111…
…0101010000101110100
3110220211102212122022012
41331313032222011310
54203233421123200
6142030123423352
712523000512656
oct1756716520564
9426742778265
10135144317300
1152350497933
1222237684b58
13c9898c2875
1467807b66d6
1537ae7c5a35
hex1f773aa174

135144317300 has 72 divisors (see below), whose sum is σ = 300190953216. Its totient is φ = 52781621760.

The previous prime is 135144317261. The next prime is 135144317323. The reversal of 135144317300 is 3713441531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21595772 + ... + 21602028.

Almost surely, 2135144317300 is an apocalyptic number.

135144317300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135144317300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150095476608).

135144317300 is an abundant number, since it is smaller than the sum of its proper divisors (165046635916).

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

135144317300 is a wasteful number, since it uses less digits than its factorization.

135144317300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11337 (or 11330 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

Adding to 135144317300 its reverse (3713441531), we get a palindrome (138857758831).

The spelling of 135144317300 in words is "one hundred thirty-five billion, one hundred forty-four million, three hundred seventeen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 2150 4300 5023 6257 10046 12514 20092 25028 25115 31285 50230 62570 100460 125140 125575 156425 215989 251150 269051 312850 431978 502300 538102 625700 863956 1076204 1079945 1345255 2159890 2690510 4319780 5381020 5399725 6726275 10799450 13452550 21598900 26905100 31428911 62857822 125715644 157144555 314289110 628578220 785722775 1351443173 1571445550 2702886346 3142891100 5405772692 6757215865 13514431730 27028863460 33786079325 67572158650 135144317300