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133015212 = 223211335897
BaseRepresentation
bin1111110110110…
…10011010101100
3100021021212120100
413323122122230
5233022441322
621110551100
73203416311
oct773323254
9307255510
10133015212
11690a1330
1238668490
1321733035
1413946d08
15ba26dac
hex7eda6ac

133015212 has 36 divisors (see below), whose sum is σ = 366800616. Its totient is φ = 40307520.

The previous prime is 133015189. The next prime is 133015229. The reversal of 133015212 is 212510331.

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

It is a super-3 number, since 3×1330152123 (a number of 25 digits) contains 333 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167553 + ... + 168344.

It is an arithmetic number, because the mean of its divisors is an integer number (10188906).

Almost surely, 2133015212 is an apocalyptic number.

133015212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133015212 is an abundant number, since it is smaller than the sum of its proper divisors (233785404).

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

133015212 is a wasteful number, since it uses less digits than its factorization.

133015212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335918 (or 335913 counting only the distinct ones).

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

The square root of 133015212 is about 11533.2220996563. Note that the first 3 decimals coincide. The cubic root of 133015212 is about 510.4663324052.

Adding to 133015212 its reverse (212510331), we get a palindrome (345525543).

The spelling of 133015212 in words is "one hundred thirty-three million, fifteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 335897 671794 1007691 1343588 2015382 3023073 3694867 4030764 6046146 7389734 11084601 12092292 14779468 22169202 33253803 44338404 66507606 133015212