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10432223120 = 2451124371353
BaseRepresentation
bin10011011011100111…
…10001011110010000
3222221001001211210002
421231303301132100
5132331122114440
64443102425132
7516343301444
oct115563613620
928831054702
1010432223120
114473799700
1220318921a8
13ca34018b7
1470d714824
15410cd9115
hex26dcf1790

10432223120 has 240 divisors, whose sum is σ = 27742974336. Its totient is φ = 3642777600.

The previous prime is 10432223093. The next prime is 10432223143. The reversal of 10432223120 is 2132223401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10432223092 and 10432223101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29552864 + ... + 29553216.

Almost surely, 210432223120 is an apocalyptic number.

10432223120 is a gapful number since it is divisible by the number (10) 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 10432223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13871487168).

10432223120 is an abundant number, since it is smaller than the sum of its proper divisors (17310751216).

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

10432223120 is a wasteful number, since it uses less digits than its factorization.

10432223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10432223120 its reverse (2132223401), we get a palindrome (12564446521).

The spelling of 10432223120 in words is "ten billion, four hundred thirty-two million, two hundred twenty-three thousand, one hundred twenty".