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10430402112 = 2632132371853
BaseRepresentation
bin10011011011011001…
…10100111001000000
3222220220122022211100
421231230310321000
5132330140331422
64442555414400
7516321645414
oct115554647100
928826568740
1010430402112
114472765539
122031154400
13ca2c14a90
1470d39cd44
15410a797ac
hex26db34e40

10430402112 has 336 divisors, whose sum is σ = 34109607168. Its totient is φ = 3023032320.

The previous prime is 10430402093. The next prime is 10430402117. The reversal of 10430402112 is 21120403401.

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 (10430402117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12227478 + ... + 12228330.

It is an arithmetic number, because the mean of its divisors is an integer number (101516688).

Almost surely, 210430402112 is an apocalyptic number.

10430402112 is a gapful number since it is divisible by the number (12) 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 10430402112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17054803584).

10430402112 is an abundant number, since it is smaller than the sum of its proper divisors (23679205056).

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

10430402112 is a wasteful number, since it uses less digits than its factorization.

10430402112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 965 counting only the distinct ones).

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

Adding to 10430402112 its reverse (21120403401), we get a palindrome (31550805513).

The spelling of 10430402112 in words is "ten billion, four hundred thirty million, four hundred two thousand, one hundred twelve".