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23111234304 = 283193155921
BaseRepresentation
bin10101100001100010…
…010111001100000000
32012122122212100100220
4111201202113030000
5334312433444204
614341145543040
71445501151564
oct254142271400
965578770326
1023111234304
11988a764444
12458baa4a80
132244137292
1411935a56a4
15903e831d9
hex561897300

23111234304 has 72 divisors (see below), whose sum is σ = 61828686192. Its totient is φ = 7663779840.

The previous prime is 23111234303. The next prime is 23111234327. The reversal of 23111234304 is 40343211132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (23111234303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70264 + ... + 226184.

Almost surely, 223111234304 is an apocalyptic number.

23111234304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23111234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30914343096).

23111234304 is an abundant number, since it is smaller than the sum of its proper divisors (38717451888).

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

23111234304 is a wasteful number, since it uses less digits than its factorization.

23111234304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156133 (or 156119 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 23111234304 its reverse (40343211132), we get a palindrome (63454445436).

The spelling of 23111234304 in words is "twenty-three billion, one hundred eleven million, two hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 193 256 384 386 579 768 772 1158 1544 2316 3088 4632 6176 9264 12352 18528 24704 37056 49408 74112 148224 155921 311842 467763 623684 935526 1247368 1871052 2494736 3742104 4989472 7484208 9978944 14968416 19957888 29936832 30092753 39915776 59873664 60185506 90278259 119747328 120371012 180556518 240742024 361113036 481484048 722226072 962968096 1444452144 1925936192 2888904288 3851872384 5777808576 7703744768 11555617152 23111234304