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201220101144 = 233237832573541
BaseRepresentation
bin1011101101100110100…
…1110001010000011000
3201020101101010020121200
42323121221301100120
511244044321214034
6232234513034200
720352264432126
oct2733151612030
9636341106550
10201220101144
1178378557257
1232bb8255960
1315c8a030b0a
149a4c164916
15537a630a99
hex2ed9a71418

201220101144 has 192 divisors, whose sum is σ = 568808079840. Its totient is φ = 64205291520.

The previous prime is 201220101083. The next prime is 201220101209. The reversal of 201220101144 is 441101022102.

201220101144 is a `hidden beast` number, since 201 + 220 + 101 + 144 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56824014 + ... + 56827554.

Almost surely, 2201220101144 is an apocalyptic number.

201220101144 is a gapful number since it is divisible by the number (24) 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 201220101144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284404039920).

201220101144 is an abundant number, since it is smaller than the sum of its proper divisors (367587978696).

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

201220101144 is a wasteful number, since it uses less digits than its factorization.

201220101144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3930 (or 3923 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201220101144 its reverse (441101022102), we get a palindrome (642321123246).

The spelling of 201220101144 in words is "two hundred one billion, two hundred twenty million, one hundred one thousand, one hundred forty-four".