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23144121 = 32721113367
BaseRepresentation
bin101100001001…
…0011010111001
31121112211202200
41120102122321
521411102441
62144020413
7400502400
oct130223271
947484680
1023144121
1112078580
127901709
134a44560
143106637
1520727b6
hex16126b9

23144121 has 72 divisors (see below), whose sum is σ = 45811584. Its totient is φ = 11067840.

The previous prime is 23144111. The next prime is 23144137. The reversal of 23144121 is 12144132.

It is not a de Polignac number, because 23144121 - 210 = 23143097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23144094 and 23144103.

It is not an unprimeable number, because it can be changed into a prime (23144101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62880 + ... + 63246.

It is an arithmetic number, because the mean of its divisors is an integer number (636272).

Almost surely, 223144121 is an apocalyptic number.

23144121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23144121 is a deficient number, since it is larger than the sum of its proper divisors (22667463).

23144121 is a wasteful number, since it uses less digits than its factorization.

23144121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 401 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 23144121 is about 4810.8337115307. The cubic root of 23144121 is about 284.9794629707.

Adding to 23144121 its reverse (12144132), we get a palindrome (35288253).

The spelling of 23144121 in words is "twenty-three million, one hundred forty-four thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 13 21 33 39 49 63 77 91 99 117 143 147 231 273 367 429 441 539 637 693 819 1001 1101 1287 1617 1911 2569 3003 3303 4037 4771 4851 5733 7007 7707 9009 12111 14313 17983 21021 23121 28259 33397 36333 42939 52481 53949 63063 84777 100191 157443 161847 197813 233779 254331 300573 367367 472329 593439 701337 1102101 1780317 2104011 2571569 3306303 7714707 23144121