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150105132 = 223211336899
BaseRepresentation
bin10001111001001…
…10110000101100
3101110110010112100
420330212300230
5301411331012
622521135100
73501605202
oct1074466054
9343403470
10150105132
1177804231
124232a490
1325137a08
1415d15072
15d2a08dc
hex8f26c2c

150105132 has 36 divisors (see below), whose sum is σ = 382800600. Its totient is φ = 49590912.

The previous prime is 150105119. The next prime is 150105161. The reversal of 150105132 is 231501051.

150105132 is a `hidden beast` number, since 150 + 1 + 0 + 513 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14382 + ... + 22517.

It is an arithmetic number, because the mean of its divisors is an integer number (10633350).

Almost surely, 2150105132 is an apocalyptic number.

150105132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

150105132 is an abundant number, since it is smaller than the sum of its proper divisors (232695468).

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

150105132 is a wasteful number, since it uses less digits than its factorization.

150105132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37022 (or 37017 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 150105132 is about 12251.7399580631. The cubic root of 150105132 is about 531.4533882915.

Adding to 150105132 its reverse (231501051), we get a palindrome (381606183).

The spelling of 150105132 in words is "one hundred fifty million, one hundred five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1356 2034 4068 36899 73798 110697 147596 221394 332091 442788 664182 1328364 4169587 8339174 12508761 16678348 25017522 37526283 50035044 75052566 150105132