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131332212 = 223311227487
BaseRepresentation
bin1111101001111…
…11100001110100
3100011010100221000
413310333201310
5232110112322
621010523300
73153206514
oct764774164
9304110830
10131332212
1168151920
1237b96530
1321293c8b
1413629844
15b7e33ac
hex7d3f874

131332212 has 96 divisors (see below), whose sum is σ = 373847040. Its totient is φ = 39540960.

The previous prime is 131332211. The next prime is 131332273. The reversal of 131332212 is 212233131.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131332211) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 269433 + ... + 269919.

It is an arithmetic number, because the mean of its divisors is an integer number (3894240).

Almost surely, 2131332212 is an apocalyptic number.

131332212 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 131332212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186923520).

131332212 is an abundant number, since it is smaller than the sum of its proper divisors (242514828).

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

131332212 is a wasteful number, since it uses less digits than its factorization.

131332212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 730 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 131332212 is about 11460.0267015396. The cubic root of 131332212 is about 508.3042641683.

Adding to 131332212 its reverse (212233131), we get a palindrome (343565343).

The spelling of 131332212 in words is "one hundred thirty-one million, three hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 227 297 396 454 487 594 681 908 974 1188 1362 1461 1948 2043 2497 2724 2922 4086 4383 4994 5357 5844 6129 7491 8172 8766 9988 10714 12258 13149 14982 16071 17532 21428 22473 24516 26298 29964 32142 44946 48213 52596 64284 67419 89892 96426 110549 134838 144639 192852 221098 269676 289278 331647 442196 578556 663294 994941 1216039 1326588 1989882 2432078 2984823 3648117 3979764 4864156 5969646 7296234 10944351 11939292 14592468 21888702 32833053 43777404 65666106 131332212