Base | Representation |
---|---|
bin | 111001010101011111… |
… | …1010110111110110000 |
3 | 102202210222201100012100 |
4 | 1302222333112332300 |
5 | 4004131210221313 |
6 | 132321504300400 |
7 | 11616136126521 |
oct | 1625277267660 |
9 | 382728640170 |
10 | 123127820208 |
11 | 482444987a8 |
12 | 1ba43311700 |
13 | b7c3203163 |
14 | 5d60902848 |
15 | 3309897173 |
hex | 1caafd6fb0 |
123127820208 has 120 divisors (see below), whose sum is σ = 355842938880. Its totient is φ = 39702983040.
The previous prime is 123127820183. The next prime is 123127820251. The reversal of 123127820208 is 802028721321.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17937385 + ... + 17944247.
It is an arithmetic number, because the mean of its divisors is an integer number (2965357824).
Almost surely, 2123127820208 is an apocalyptic number.
123127820208 is a gapful number since it is divisible by the number (18) 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 123127820208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177921469440).
123127820208 is an abundant number, since it is smaller than the sum of its proper divisors (232715118672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123127820208 is a wasteful number, since it uses less digits than its factorization.
123127820208 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10927 (or 10918 counting only the distinct ones).
The product of its (nonzero) digits is 21504, while the sum is 36.
The spelling of 123127820208 in words is "one hundred twenty-three billion, one hundred twenty-seven million, eight hundred twenty thousand, two hundred eight".
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