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10423411200 = 29325290481
BaseRepresentation
bin10011011010100100…
…01010001000000000
3222220102111011002200
421231102022020000
5132321343124300
64442145513200
7516205350636
oct115522121000
928812434080
1010423411200
114469820124
12202a942800
13ca1637a47
1470c49d356
15410148200
hex26d48a200

10423411200 has 180 divisors, whose sum is σ = 37302923658. Its totient is φ = 2779545600.

The previous prime is 10423411199. The next prime is 10423411223. The reversal of 10423411200 is 211432401.

10423411200 is a `hidden beast` number, since 1 + 0 + 423 + 41 + 1 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5232496896 + 5190914304 = 72336^2 + 72048^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 69960 + ... + 160440.

Almost surely, 210423411200 is an apocalyptic number.

10423411200 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 10423411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18651461829).

10423411200 is an abundant number, since it is smaller than the sum of its proper divisors (26879512458).

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

10423411200 is an equidigital number, since it uses as much as digits as its factorization.

10423411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90515 (or 90491 counting only the distinct ones).

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

Adding to 10423411200 its reverse (211432401), we get a palindrome (10634843601).

The spelling of 10423411200 in words is "ten billion, four hundred twenty-three million, four hundred eleven thousand, two hundred".