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14010320100 = 22352723725759
BaseRepresentation
bin11010000110001010…
…01000010011100100
31100011101220000002110
431003011020103210
5212143120220400
610234121441020
71004121520200
oct150305102344
940141800073
1014010320100
115a3a507947
122870040170
1314237b334a
1496ca01b00
1556eec0e50
hex3431484e4

14010320100 has 216 divisors, whose sum is σ = 48431066880. Its totient is φ = 3115687680.

The previous prime is 14010320047. The next prime is 14010320117. The reversal of 14010320100 is 102301041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 531021 + ... + 556779.

Almost surely, 214010320100 is an apocalyptic number.

14010320100 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 14010320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24215533440).

14010320100 is an abundant number, since it is smaller than the sum of its proper divisors (34420746780).

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

14010320100 is a wasteful number, since it uses less digits than its factorization.

14010320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25827 (or 25813 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 14010320100 its reverse (102301041), we get a palindrome (14112621141).

The spelling of 14010320100 in words is "fourteen billion, ten million, three hundred twenty thousand, one hundred".