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23023124124 = 2237211131012711
BaseRepresentation
bin10101011100010010…
…001111111010011100
32012102112001212220220
4111130102033322130
5334122404432444
614324321241340
71443351216600
oct253422177234
965375055826
1023023124124
119844a53a10
124566493250
13222bac7590
1411859cb500
158eb37b619
hex55c48fe9c

23023124124 has 288 divisors, whose sum is σ = 74170639872. Its totient is φ = 5463360000.

The previous prime is 23023124119. The next prime is 23023124143. The reversal of 23023124124 is 42142132032.

It is a happy number.

It is a super-3 number, since 3×230231241243 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 23023124094 and 23023124103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8491129 + ... + 8493839.

It is an arithmetic number, because the mean of its divisors is an integer number (257536944).

Almost surely, 223023124124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23023124124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37085319936).

23023124124 is an abundant number, since it is smaller than the sum of its proper divisors (51147515748).

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

23023124124 is a wasteful number, since it uses less digits than its factorization.

23023124124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 23023124124 its reverse (42142132032), we get a palindrome (65165256156).

The spelling of 23023124124 in words is "twenty-three billion, twenty-three million, one hundred twenty-four thousand, one hundred twenty-four".