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133144100 = 22525032647
BaseRepresentation
bin1111110111110…
…01111000100100
3100021112102100222
413323321320210
5233041102400
621113423512
73204464135
oct773717044
9307472328
10133144100
116917a151
123870ab98
13217798bb
141397bc8c
15ba50185
hex7ef9e24

133144100 has 36 divisors (see below), whose sum is σ = 289606464. Its totient is φ = 53131680.

The previous prime is 133144073. The next prime is 133144129. The reversal of 133144100 is 1441331.

133144100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48977 + ... + 51623.

It is an arithmetic number, because the mean of its divisors is an integer number (8044624).

Almost surely, 2133144100 is an apocalyptic number.

133144100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133144100 is an abundant number, since it is smaller than the sum of its proper divisors (156462364).

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

133144100 is a wasteful number, since it uses less digits than its factorization.

133144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 133144100 is about 11538.8084306830. The cubic root of 133144100 is about 510.6311550210.

Adding to 133144100 its reverse (1441331), we get a palindrome (134585431).

The spelling of 133144100 in words is "one hundred thirty-three million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 503 1006 2012 2515 2647 5030 5294 10060 10588 12575 13235 25150 26470 50300 52940 66175 132350 264700 1331441 2662882 5325764 6657205 13314410 26628820 33286025 66572050 133144100