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201122000001 = 33135319875441
BaseRepresentation
bin1011101101001111001…
…1100010110010000001
3201020010112112012011000
42323103303202302001
511243344213000001
6232221050242213
720346663536016
oct2732363426201
9636115465130
10201122000001
117832814242a
1232b8b426369
1315c729036c0
149a3d10970d
155371c03a86
hex2ed3ce2c81

201122000001 has 64 divisors (see below), whose sum is σ = 327157367040. Its totient is φ = 121348730880.

The previous prime is 201121999997. The next prime is 201122000003. The reversal of 201122000001 is 100000221102.

201122000001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201122000001 - 22 = 201121999997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (201122000003) 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 63 ways as a sum of consecutive naturals, for example, 36961441 + ... + 36966881.

It is an arithmetic number, because the mean of its divisors is an integer number (5111833860).

Almost surely, 2201122000001 is an apocalyptic number.

It is an amenable number.

201122000001 is a deficient number, since it is larger than the sum of its proper divisors (126035367039).

201122000001 is a wasteful number, since it uses less digits than its factorization.

201122000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7503 (or 7497 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201122000001 its reverse (100000221102), we get a palindrome (301122221103).

The spelling of 201122000001 in words is "two hundred one billion, one hundred twenty-two million, one", and thus it is an aban number.

Divisors: 1 3 9 13 27 39 53 117 159 351 477 689 1431 1987 2067 5441 5961 6201 16323 17883 18603 25831 48969 53649 70733 77493 105311 146907 212199 232479 288373 315933 636597 697437 865119 947799 1369043 1909791 2595357 2843397 3748849 4107129 7786071 10811267 11246547 12321387 32433801 33739641 36964161 97301403 101218923 140546471 291904209 421639413 572997151 1264918239 1718991453 3794754717 5156974359 7448962963 15470923077 22346888889 67040666667 201122000001