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201022001205 = 35299716212939
BaseRepresentation
bin1011101100110111011…
…0000101000000110101
3201012212120100201120220
42323031312011000311
511243143113014310
6232203115044553
720344340550234
oct2731566050065
9635776321526
10201022001205
11782867518a3
1232b61a40759
1315c57c9060c
149a2db18b1b
15536804e670
hex2ecdd85035

201022001205 has 64 divisors (see below), whose sum is σ = 336478060800. Its totient is φ = 102349578240.

The previous prime is 201022001177. The next prime is 201022001209. The reversal of 201022001205 is 502100220102.

201022001205 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 201022001205 - 29 = 201022000693 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201022001209) 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, 68396626 + ... + 68399564.

It is an arithmetic number, because the mean of its divisors is an integer number (5257469700).

Almost surely, 2201022001205 is an apocalyptic number.

It is an amenable number.

201022001205 is a deficient number, since it is larger than the sum of its proper divisors (135456059595).

201022001205 is a wasteful number, since it uses less digits than its factorization.

201022001205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4694.

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 201022001205 its reverse (502100220102), we get a palindrome (703122221307).

The spelling of 201022001205 in words is "two hundred one billion, twenty-two million, one thousand, two hundred five".

Divisors: 1 3 5 15 29 87 97 145 291 435 485 1455 1621 2813 2939 4863 8105 8439 8817 14065 14695 24315 42195 44085 47009 85231 141027 157237 235045 255693 285083 426155 471711 705135 786185 855249 1278465 1425415 2358555 4276245 4559873 4764119 8267407 13679619 14292357 22799365 23820595 24802221 41337035 68398095 71461785 124011105 138159451 414478353 462119543 690797255 1386358629 2072391765 2310597715 6931793145 13401466747 40204400241 67007333735 201022001205