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135124010 = 25719283359
BaseRepresentation
bin10000000110111…
…01010000101010
3100102021000021222
420003131100222
5234042432020
621224102042
73230351360
oct1003352052
9312230258
10135124010
116a30173a
1239304922
1321cc0b48
1413d35630
15bce1b25
hex80dd42a

135124010 has 64 divisors (see below), whose sum is σ = 294451200. Its totient is φ = 43612992.

The previous prime is 135124001. The next prime is 135124019. The reversal of 135124010 is 10421531.

It is an interprime number because it is at equal distance from previous prime (135124001) and next prime (135124019).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 135124010.

It is not an unprimeable number, because it can be changed into a prime (135124019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376211 + ... + 376569.

It is an arithmetic number, because the mean of its divisors is an integer number (4600800).

Almost surely, 2135124010 is an apocalyptic number.

135124010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135124010 is an abundant number, since it is smaller than the sum of its proper divisors (159327190).

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

135124010 is a wasteful number, since it uses less digits than its factorization.

135124010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 135124010 is about 11624.2853543777. The cubic root of 135124010 is about 513.1498130547.

Adding to 135124010 its reverse (10421531), we get a palindrome (145545541).

The spelling of 135124010 in words is "one hundred thirty-five million, one hundred twenty-four thousand, ten".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 133 190 266 283 359 566 665 718 1330 1415 1795 1981 2513 2830 3590 3962 5026 5377 6821 9905 10754 12565 13642 19810 25130 26885 34105 37639 47747 53770 68210 75278 95494 101597 188195 203194 238735 376390 477470 507985 711179 1015970 1422358 1930343 3555895 3860686 7111790 9651715 13512401 19303430 27024802 67562005 135124010