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103409339712 = 26372173120857
BaseRepresentation
bin110000001001110101…
…1010100110101000000
3100212220202220202002220
41200103223110311000
53143240242332322
6115301113011040
710320402612300
oct1402353246500
9325822822086
10103409339712
113a945970528
121805b6b3a80
13999cc55713
14500db7d600
152a536d955c
hex1813ad4d40

103409339712 has 336 divisors, whose sum is σ = 347883406848. Its totient is φ = 26909245440.

The previous prime is 103409339711. The next prime is 103409339723. The reversal of 103409339712 is 217933904301.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103409339711) 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, 4947588 + ... + 4968444.

Almost surely, 2103409339712 is an apocalyptic number.

103409339712 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 103409339712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173941703424).

103409339712 is an abundant number, since it is smaller than the sum of its proper divisors (244474067136).

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

103409339712 is a wasteful number, since it uses less digits than its factorization.

103409339712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20934 (or 20917 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The spelling of 103409339712 in words is "one hundred three billion, four hundred nine million, three hundred thirty-nine thousand, seven hundred twelve".