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135022000300 = 225211243325771
BaseRepresentation
bin111110110111111110…
…0000011100010101100
3110220111220201021220221
41331233330003202230
54203011113002200
6142010034021124
712516654031435
oct1755774034254
9426456637827
10135022000300
1152298443300
12222027177a4
13c96a467145
14676c45648c
1537a3bb391a
hex1f6ff038ac

135022000300 has 108 divisors (see below), whose sum is σ = 322811670328. Its totient is φ = 48983616000.

The previous prime is 135022000297. The next prime is 135022000327. The reversal of 135022000300 is 3000220531.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5226415 + ... + 5252185.

Almost surely, 2135022000300 is an apocalyptic number.

135022000300 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 135022000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161405835164).

135022000300 is an abundant number, since it is smaller than the sum of its proper divisors (187789670028).

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

135022000300 is a wasteful number, since it uses less digits than its factorization.

135022000300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26240 (or 26222 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

Adding to 135022000300 its reverse (3000220531), we get a palindrome (138022220831).

The spelling of 135022000300 in words is "one hundred thirty-five billion, twenty-two million, three hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 433 484 550 605 866 1100 1210 1732 2165 2420 3025 4330 4763 6050 8660 9526 10825 12100 19052 21650 23815 25771 43300 47630 51542 52393 95260 103084 104786 119075 128855 209572 238150 257710 261965 283481 476300 515420 523930 566962 644275 1047860 1133924 1288550 1309825 1417405 2577100 2619650 2834810 3118291 5239300 5669620 6236582 7087025 11158843 12473164 14174050 15591455 22317686 28348100 31182910 44635372 55794215 62365820 77957275 111588430 122747273 155914550 223176860 245494546 278971075 311829100 490989092 557942150 613736365 1115884300 1227472730 1350220003 2454945460 2700440006 3068681825 5400880012 6137363650 6751100015 12274727300 13502200030 27004400060 33755500075 67511000150 135022000300