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1320128145 = 33576122901
BaseRepresentation
bin100111010101111…
…1000111010010001
310102000001110101000
41032223320322101
510200423100040
6334554532213
744466622050
oct11653707221
93360043330
101320128145
116181a58a6
1230a137069
1318066481b
14c7480397
157ad69130
hex4eaf8e91

1320128145 has 64 divisors (see below), whose sum is σ = 2726254080. Its totient is φ = 593568000.

The previous prime is 1320128129. The next prime is 1320128167. The reversal of 1320128145 is 5418210231.

It is not a de Polignac number, because 1320128145 - 24 = 1320128129 is a prime.

It is a super-2 number, since 2×13201281452 = 3485476638442282050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46195 + ... + 69095.

It is an arithmetic number, because the mean of its divisors is an integer number (42597720).

Almost surely, 21320128145 is an apocalyptic number.

1320128145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1320128145 is an abundant number, since it is smaller than the sum of its proper divisors (1406125935).

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

1320128145 is a wasteful number, since it uses less digits than its factorization.

1320128145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22983 (or 22977 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1320128145 is about 36333.5677438921. The cubic root of 1320128145 is about 1096.9968068397.

Adding to 1320128145 its reverse (5418210231), we get a palindrome (6738338376).

The spelling of 1320128145 in words is "one billion, three hundred twenty million, one hundred twenty-eight thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 61 63 105 135 183 189 305 315 427 549 915 945 1281 1647 2135 2745 3843 6405 8235 11529 19215 22901 57645 68703 114505 160307 206109 343515 480921 618327 801535 1030545 1396961 1442763 2404605 3091635 4190883 4328289 6984805 7213815 9778727 12572649 20954415 21641445 29336181 37717947 48893635 62863245 88008543 146680905 188589735 264025629 440042715 1320128145