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201220032112 = 24112457227431
BaseRepresentation
bin1011101101100110100…
…1100000011001110000
3201020101100222201220221
42323121221200121300
511244044312011422
6232234511342424
720352264023641
oct2733151403160
9636340881827
10201220032112
117837850a400
1232bb8221a14
1315c8a008578
149a4c1476c8
15537a61a3c7
hex2ed9a60670

201220032112 has 60 divisors (see below), whose sum is σ = 429467578288. Its totient is φ = 91263110400.

The previous prime is 201220032073. The next prime is 201220032119. The reversal of 201220032112 is 211230022102.

It is a happy number.

It is a super-2 number, since 2×2012200321122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201220032119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 771037 + ... + 998467.

Almost surely, 2201220032112 is an apocalyptic number.

201220032112 is a gapful number since it is divisible by the number (22) 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 201220032112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214733789144).

201220032112 is an abundant number, since it is smaller than the sum of its proper divisors (228247546176).

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

201220032112 is a wasteful number, since it uses less digits than its factorization.

201220032112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227918 (or 227901 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 201220032112 its reverse (211230022102), we get a palindrome (412450054214).

The spelling of 201220032112 in words is "two hundred one billion, two hundred twenty million, thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 457 484 914 968 1828 1936 3656 5027 7312 10054 20108 40216 55297 80432 110594 221188 227431 442376 454862 884752 909724 1819448 2501741 3638896 5003482 10006964 20013928 27519151 40027856 55038302 103935967 110076604 207871934 220153208 415743868 440306416 831487736 1143295637 1662975472 2286591274 4573182548 9146365096 12576252007 18292730192 25152504014 50305008028 100610016056 201220032112