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150114330 = 23352321051
BaseRepresentation
bin10001111001010…
…01000000011010
3101110110121011000
420330221000122
5301412124310
622521245430
73501644052
oct1074510032
9343417130
10150114330
1177810133
1242333876
132513bc62
1415d18562
15d2a34c0
hex8f2901a

150114330 has 96 divisors (see below), whose sum is σ = 418864320. Its totient is φ = 38253600.

The previous prime is 150114329. The next prime is 150114331. The reversal of 150114330 is 33411051.

It is an interprime number because it is at equal distance from previous prime (150114329) and next prime (150114331).

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

It is not an unprimeable number, because it can be changed into a prime (150114331) 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 47 ways as a sum of consecutive naturals, for example, 142305 + ... + 143355.

It is an arithmetic number, because the mean of its divisors is an integer number (4363170).

Almost surely, 2150114330 is an apocalyptic number.

150114330 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 150114330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209432160).

150114330 is an abundant number, since it is smaller than the sum of its proper divisors (268749990).

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

150114330 is a wasteful number, since it uses less digits than its factorization.

150114330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 150114330 is about 12252.1153275669. The cubic root of 150114330 is about 531.4642433688.

Adding to 150114330 its reverse (33411051), we get a palindrome (183525381).

The spelling of 150114330 in words is "one hundred fifty million, one hundred fourteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 529 621 690 1035 1051 1058 1242 1587 2070 2102 2645 3105 3153 3174 4761 5255 5290 6210 6306 7935 9459 9522 10510 14283 15765 15870 18918 23805 24173 28377 28566 31530 47295 47610 48346 56754 71415 72519 94590 120865 141885 142830 145038 217557 241730 283770 362595 435114 555979 652671 725190 1087785 1111958 1305342 1667937 2175570 2779895 3263355 3335874 5003811 5559790 6526710 8339685 10007622 15011433 16679370 25019055 30022866 50038110 75057165 150114330