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135031350 = 23523171409
BaseRepresentation
bin10000000110001…
…10101000110110
3100102002022012010
420003012220312
5234032000400
621222105050
73226514256
oct1003065066
9312068163
10135031350
116a249063
123927b186
1321c8a90c
1413d0d966
15bcc4450
hex80c6a36

135031350 has 96 divisors (see below), whose sum is σ = 351406080. Its totient is φ = 34272000.

The previous prime is 135031339. The next prime is 135031361. The reversal of 135031350 is 53130531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (135031339) and next prime (135031361).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 329946 + ... + 330354.

It is an arithmetic number, because the mean of its divisors is an integer number (3660480).

Almost surely, 2135031350 is an apocalyptic number.

135031350 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 135031350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175703040).

135031350 is an abundant number, since it is smaller than the sum of its proper divisors (216374730).

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

135031350 is a wasteful number, since it uses less digits than its factorization.

135031350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 675, while the sum is 21.

The square root of 135031350 is about 11620.2990495081. The cubic root of 135031350 is about 513.0324903710.

Adding to 135031350 its reverse (53130531), we get a palindrome (188161881).

The spelling of 135031350 in words is "one hundred thirty-five million, thirty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 71 75 93 142 150 155 186 213 310 355 409 426 465 710 775 818 930 1065 1227 1550 1775 2045 2130 2201 2325 2454 3550 4090 4402 4650 5325 6135 6603 10225 10650 11005 12270 12679 13206 20450 22010 25358 29039 30675 33015 38037 55025 58078 61350 63395 66030 76074 87117 110050 126790 145195 165075 174234 190185 290390 316975 330150 380370 435585 633950 725975 871170 900209 950925 1451950 1800418 1901850 2177925 2700627 4355850 4501045 5401254 9002090 13503135 22505225 27006270 45010450 67515675 135031350