Base | Representation |
---|---|
bin | 111001010111111100… |
… | …0110110011011100000 |
3 | 102210000201100111210220 |
4 | 1302233320312123200 |
5 | 4004313230000341 |
6 | 132334001523040 |
7 | 11621154502161 |
oct | 1625770663340 |
9 | 383021314726 |
10 | 123210000096 |
11 | 48286918767 |
12 | 1ba66943480 |
13 | b807247801 |
14 | 5d6b7b5768 |
15 | 3311bcba66 |
hex | 1cafe366e0 |
123210000096 has 96 divisors (see below), whose sum is σ = 327258247680. Its totient is φ = 40585307136.
The previous prime is 123210000049. The next prime is 123210000101. The reversal of 123210000096 is 690000012321.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4186585 + ... + 4215911.
It is an arithmetic number, because the mean of its divisors is an integer number (3408940080).
Almost surely, 2123210000096 is an apocalyptic number.
123210000096 is a gapful number since it is divisible by the number (16) 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 123210000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163629123840).
123210000096 is an abundant number, since it is smaller than the sum of its proper divisors (204048247584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123210000096 is a wasteful number, since it uses less digits than its factorization.
123210000096 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 29856 (or 29848 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 24.
The spelling of 123210000096 in words is "one hundred twenty-three billion, two hundred ten million, ninety-six", and thus it is an aban number.
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