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1123145001 = 3311171811229
BaseRepresentation
bin100001011110001…
…1101010100101001
32220021101200022000
41002330131110221
54300011120001
6303240521213
736555401136
oct10274352451
92807350260
101123145001
11526a93510
12274180209
1314b8c5754
14a924558d
1568908a86
hex42f1d529

1123145001 has 64 divisors (see below), whose sum is σ = 1934150400. Its totient is φ = 636595200.

The previous prime is 1123144991. The next prime is 1123145011. The reversal of 1123145001 is 1005413211.

It is an interprime number because it is at equal distance from previous prime (1123144991) and next prime (1123145011).

It is not a de Polignac number, because 1123145001 - 213 = 1123136809 is a prime.

It is a super-3 number, since 3×11231450013 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1123145011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 913255 + ... + 914483.

It is an arithmetic number, because the mean of its divisors is an integer number (30221100).

Almost surely, 21123145001 is an apocalyptic number.

1123145001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1123145001 is a deficient number, since it is larger than the sum of its proper divisors (811005399).

1123145001 is a wasteful number, since it uses less digits than its factorization.

1123145001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1123145001 is about 33513.3555616265. The cubic root of 1123145001 is about 1039.4699595066.

Adding to 1123145001 its reverse (1005413211), we get a palindrome (2128558212).

The spelling of 1123145001 in words is "one billion, one hundred twenty-three million, one hundred forty-five thousand, one".

Divisors: 1 3 9 11 17 27 33 51 99 153 181 187 297 459 543 561 1229 1629 1683 1991 3077 3687 4887 5049 5973 9231 11061 13519 17919 20893 27693 33183 33847 40557 53757 62679 83079 101541 121671 188037 222449 229823 304623 365013 564111 667347 689469 913869 2002041 2068407 2446939 3781633 6006123 6205221 7340817 11344899 22022451 34034697 41597963 66067353 102104091 124793889 374381667 1123145001