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10131231024 = 2432312179409
BaseRepresentation
bin10010110111101111…
…00101000100110000
3222011001200212020200
421123313211010300
5131222043343044
64353151235200
7506030020455
oct113367450460
928131625220
1010131231024
1143298a7902
121b68b18b00
13c55c47375
146c176382c
153e4681369
hex25bde5130

10131231024 has 180 divisors, whose sum is σ = 29533210200. Its totient is φ = 3241935360.

The previous prime is 10131231013. The next prime is 10131231083. The reversal of 10131231024 is 42013213101.

10131231024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10131230988 and 10131231006.

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 35 ways as a sum of consecutive naturals, for example, 24770532 + ... + 24770940.

It is an arithmetic number, because the mean of its divisors is an integer number (164073390).

Almost surely, 210131231024 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 10131231024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14766605100).

10131231024 is an abundant number, since it is smaller than the sum of its proper divisors (19401979176).

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

10131231024 is a wasteful number, since it uses less digits than its factorization.

10131231024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10131231024 its reverse (42013213101), we get a palindrome (52144444125).

The spelling of 10131231024 in words is "ten billion, one hundred thirty-one million, two hundred thirty-one thousand, twenty-four".