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135124110 = 232511413329
BaseRepresentation
bin10000000110111…
…01010010001110
3100102021000102200
420003131102032
5234042432420
621224102330
73230351562
oct1003352216
9312230380
10135124110
116a301820
12393049a6
1321cc0bc4
1413d356a2
15bce1b90
hex80dd48e

135124110 has 96 divisors (see below), whose sum is σ = 392726880. Its totient is φ = 31948800.

The previous prime is 135124097. The next prime is 135124117. The reversal of 135124110 is 11421531.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135124117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38926 + ... + 42254.

It is an arithmetic number, because the mean of its divisors is an integer number (4090905).

Almost surely, 2135124110 is an apocalyptic number.

135124110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135124110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196363440).

135124110 is an abundant number, since it is smaller than the sum of its proper divisors (257602770).

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

135124110 is a wasteful number, since it uses less digits than its factorization.

135124110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3394 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 135124110 is about 11624.2896557166. The cubic root of 135124110 is about 513.1499396421.

Adding to 135124110 its reverse (11421531), we get a palindrome (146545641).

The spelling of 135124110 in words is "one hundred thirty-five million, one hundred twenty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 41 45 55 66 82 90 99 110 123 165 198 205 246 330 369 410 451 495 615 738 902 990 1230 1353 1845 2255 2706 3329 3690 4059 4510 6658 6765 8118 9987 13530 16645 19974 20295 29961 33290 36619 40590 49935 59922 73238 99870 109857 136489 149805 183095 219714 272978 299610 329571 366190 409467 549285 659142 682445 818934 1098570 1228401 1364890 1501379 1647855 2047335 2456802 3002758 3295710 4094670 4504137 6142005 7506895 9008274 12284010 13512411 15013790 22520685 27024822 45041370 67562055 135124110