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131533212 = 22329599631
BaseRepresentation
bin1111101011100…
…00100110011100
3100011111120122110
413311300212130
5232133030322
621015114020
73155004516
oct765604634
9304446573
10131533212
1168279938
1238072910
1321334605
141367cbb6
15b832c0c
hex7d7099c

131533212 has 48 divisors (see below), whose sum is σ = 318528000. Its totient is φ = 42194880.

The previous prime is 131533211. The next prime is 131533253. The reversal of 131533212 is 212335131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131533211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208137 + ... + 208767.

It is an arithmetic number, because the mean of its divisors is an integer number (6636000).

Almost surely, 2131533212 is an apocalyptic number.

131533212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131533212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159264000).

131533212 is an abundant number, since it is smaller than the sum of its proper divisors (186994788).

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

131533212 is a wasteful number, since it uses less digits than its factorization.

131533212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1264 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 131533212 is about 11468.7929617724. The cubic root of 131533212 is about 508.5634467850.

Adding to 131533212 its reverse (212335131), we get a palindrome (343868343).

The spelling of 131533212 in words is "one hundred thirty-one million, five hundred thirty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 599 631 1198 1262 1797 1893 2396 2524 3594 3786 7188 7572 17371 18299 34742 36598 52113 54897 69484 73196 104226 109794 208452 219588 377969 755938 1133907 1511876 2267814 4535628 10961101 21922202 32883303 43844404 65766606 131533212