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1122504201 = 32731383337
BaseRepresentation
bin100001011101000…
…0000111000001001
32220020012010021200
41002322000320021
54244330113301
6303215054413
736550062000
oct10272007011
92806163250
101122504201
11526696025
12273b11409
1314b72cb90
14a9119c37
156882dc86
hex42e80e09

1122504201 has 96 divisors (see below), whose sum is σ = 2066937600. Its totient is φ = 583220736.

The previous prime is 1122504193. The next prime is 1122504209. The reversal of 1122504201 is 1024052211.

It is an interprime number because it is at equal distance from previous prime (1122504193) and next prime (1122504209).

It is not a de Polignac number, because 1122504201 - 23 = 1122504193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1122504209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3330705 + ... + 3331041.

It is an arithmetic number, because the mean of its divisors is an integer number (21530600).

Almost surely, 21122504201 is an apocalyptic number.

It is an amenable number.

1122504201 is a deficient number, since it is larger than the sum of its proper divisors (944433399).

1122504201 is a wasteful number, since it uses less digits than its factorization.

1122504201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1122504201 is about 33503.7938299530. The cubic root of 1122504201 is about 1039.2722352391.

Adding to 1122504201 its reverse (1024052211), we get a palindrome (2146556412).

The spelling of 1122504201 in words is "one billion, one hundred twenty-two million, five hundred four thousand, two hundred one".

Divisors: 1 3 7 9 13 21 39 49 63 83 91 117 147 249 273 337 343 441 581 637 747 819 1011 1029 1079 1743 1911 2359 3033 3087 3237 4067 4381 4459 5229 5733 7077 7553 9711 12201 13143 13377 16513 21231 22659 27971 28469 30667 36603 39429 40131 49539 52871 67977 83913 85407 92001 115591 148617 158613 195797 214669 251739 256221 276003 346773 363623 370097 475839 587391 644007 1040319 1090869 1110291 1370579 1502683 1762173 1932021 2545361 3272607 3330873 4111737 4508049 7636083 9594053 12335211 13524147 17817527 22908249 28782159 53452581 86346477 124722689 160357743 374168067 1122504201