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135115300 = 225212710639
BaseRepresentation
bin10000000110110…
…11001000100100
3100102020120100101
420003123020210
5234042142200
621223553444
73230314105
oct1003331044
9312216311
10135115300
116a2a6141
12392bb884
1321cb9ba8
1413d323ac
15bcde26a
hex80db224

135115300 has 36 divisors (see below), whose sum is σ = 295536640. Its totient is φ = 53615520.

The previous prime is 135115283. The next prime is 135115301. The reversal of 135115300 is 3511531.

It is a super-2 number, since 2×1351153002 = 36512288588180000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135115301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7381 + ... + 18019.

Almost surely, 2135115300 is an apocalyptic number.

135115300 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 135115300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147768320).

135115300 is an abundant number, since it is smaller than the sum of its proper divisors (160421340).

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

135115300 is a wasteful number, since it uses less digits than its factorization.

135115300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10780 (or 10773 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 19.

The square root of 135115300 is about 11623.9107016529. The cubic root of 135115300 is about 513.1387870574.

Adding to 135115300 its reverse (3511531), we get a palindrome (138626831).

The spelling of 135115300 in words is "one hundred thirty-five million, one hundred fifteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 127 254 508 635 1270 2540 3175 6350 10639 12700 21278 42556 53195 106390 212780 265975 531950 1063900 1351153 2702306 5404612 6755765 13511530 27023060 33778825 67557650 135115300