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131122312230 = 235713217713061
BaseRepresentation
bin111101000011101111…
…1111011010000100110
3110112110010202121120110
41322013133323100212
54122014302442410
6140123050113450
712321222156450
oct1720737732046
9415403677513
10131122312230
11506771439a8
12214b471b886
13c498568200
1464bc5752d0
153626655720
hex1e877fb426

131122312230 has 384 divisors, whose sum is σ = 418296047616. Its totient is φ = 25662873600.

The previous prime is 131122312201. The next prime is 131122312253. The reversal of 131122312230 is 32213221131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 131122312197 and 131122312206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42834900 + ... + 42837960.

It is an arithmetic number, because the mean of its divisors is an integer number (1089312624).

Almost surely, 2131122312230 is an apocalyptic number.

131122312230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131122312230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209148023808).

131122312230 is an abundant number, since it is smaller than the sum of its proper divisors (287173735386).

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

131122312230 is a wasteful number, since it uses less digits than its factorization.

131122312230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 131122312230 its reverse (32213221131), we get a palindrome (163335533361).

The spelling of 131122312230 in words is "one hundred thirty-one billion, one hundred twenty-two million, three hundred twelve thousand, two hundred thirty".