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201122210148 = 223171035795191
BaseRepresentation
bin1011101101001111010…
…0010110000101100100
3201020010112220212102020
42323103310112011210
511243344241211043
6232221054543140
720346665402466
oct2732364260544
9636115825366
10201122210148
1178328276302
1232b8b507ab0
1315c72978252
149a3d162136
155371c45e83
hex2ed3d16164

201122210148 has 48 divisors (see below), whose sum is σ = 496943362944. Its totient is φ = 63090408960.

The previous prime is 201122210147. The next prime is 201122210189. The reversal of 201122210148 is 841012221102.

It is a happy number.

201122210148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (201122210147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2065233 + ... + 2160423.

It is an arithmetic number, because the mean of its divisors is an integer number (10352986728).

Almost surely, 2201122210148 is an apocalyptic number.

It is an amenable number.

201122210148 is an abundant number, since it is smaller than the sum of its proper divisors (295821152796).

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

201122210148 is a wasteful number, since it uses less digits than its factorization.

201122210148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105572 (or 105570 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The spelling of 201122210148 in words is "two hundred one billion, one hundred twenty-two million, two hundred ten thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 10357 20714 31071 41428 62142 95191 124284 176069 190382 285573 352138 380764 528207 571146 704276 1056414 1142292 1618247 2112828 3236494 4854741 6472988 9709482 19418964 985893187 1971786374 2957679561 3943572748 5915359122 11830718244 16760184179 33520368358 50280552537 67040736716 100561105074 201122210148