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131122212 = 223135315859
BaseRepresentation
bin1111101000011…
…00010000100100
3100010201200212020
413310030100210
5232031402322
621002223140
73151343334
oct764142044
9303650766
10131122212
1168019071
1237ab4ab0
132121c510
14135b30c4
15b7a105c
hex7d0c424

131122212 has 48 divisors (see below), whose sum is σ = 335724480. Its totient is φ = 39581568.

The previous prime is 131122181. The next prime is 131122247. The reversal of 131122212 is 212221131.

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

It is a junction number, because it is equal to n+sod(n) for n = 131122191 and 131122200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339 + ... + 16197.

It is an arithmetic number, because the mean of its divisors is an integer number (6994260).

Almost surely, 2131122212 is an apocalyptic number.

131122212 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 131122212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167862240).

131122212 is an abundant number, since it is smaller than the sum of its proper divisors (204602268).

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

131122212 is a wasteful number, since it uses less digits than its factorization.

131122212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15932 (or 15930 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 131122212 is about 11450.8607536726. The cubic root of 131122212 is about 508.0331937307.

Adding to 131122212 its reverse (212221131), we get a palindrome (343343343).

The spelling of 131122212 in words is "one hundred thirty-one million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 212 318 636 689 1378 2067 2756 4134 8268 15859 31718 47577 63436 95154 190308 206167 412334 618501 824668 840527 1237002 1681054 2474004 2521581 3362108 5043162 10086324 10926851 21853702 32780553 43707404 65561106 131122212