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10423413000 = 23325371113289
BaseRepresentation
bin10011011010100100…
…01010100100001000
3222220102111020120100
421231102022210020
5132321343204000
64442145525400
7516205356120
oct115522124410
928812436510
1010423413000
114469821510
12202a943860
13ca1638800
1470c49dc80
15410148a00
hex26d48a908

10423413000 has 1152 divisors, whose sum is σ = 48097670400. Its totient is φ = 1976832000.

The previous prime is 10423412983. The next prime is 10423413001. The reversal of 10423413000 is 31432401.

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

It is not an unprimeable number, because it can be changed into a prime (10423413001) 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 287 ways as a sum of consecutive naturals, for example, 117116956 + ... + 117117044.

It is an arithmetic number, because the mean of its divisors is an integer number (41751450).

Almost surely, 210423413000 is an apocalyptic number.

10423413000 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 10423413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24048835200).

10423413000 is an abundant number, since it is smaller than the sum of its proper divisors (37674257400).

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

10423413000 is a wasteful number, since it uses less digits than its factorization.

10423413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10423413000 its reverse (31432401), we get a palindrome (10454845401).

The spelling of 10423413000 in words is "ten billion, four hundred twenty-three million, four hundred thirteen thousand".