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201112141412 = 227131929271487
BaseRepresentation
bin1011101101001100110…
…1111011111001100100
3201020002211222022201002
42323103031323321210
511243334202011122
6232220055052432
720346513665540
oct2732315737144
9636084868632
10201112141412
1178322619536
1232b88071118
1315c70861310
149a3baa0a20
155370e07992
hex2ed337be64

201112141412 has 288 divisors, whose sum is σ = 479862190080. Its totient is φ = 71602030080.

The previous prime is 201112141379. The next prime is 201112141429. The reversal of 201112141412 is 214141211102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 412961033 + ... + 412961519.

It is an arithmetic number, because the mean of its divisors is an integer number (1666188160).

Almost surely, 2201112141412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201112141412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239931095040).

201112141412 is an abundant number, since it is smaller than the sum of its proper divisors (278750048668).

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

201112141412 is a wasteful number, since it uses less digits than its factorization.

201112141412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 201112141412 its reverse (214141211102), we get a palindrome (415253352514).

The spelling of 201112141412 in words is "two hundred one billion, one hundred twelve million, one hundred forty-one thousand, four hundred twelve".