Base | Representation |
---|---|
bin | 11111000000110101111… |
… | …101100010001100110100 |
3 | 21112202000121220211220100 |
4 | 133000311331202030310 |
5 | 234404204012232012 |
6 | 4311021451234100 |
7 | 306655230320355 |
oct | 37006575421464 |
9 | 7482017824810 |
10 | 2131209102132 |
11 | 751927a83280 |
12 | 2a5061748930 |
13 | 125c83a99346 |
14 | 75218777d2c |
15 | 3a6870788dc |
hex | 1f035f62334 |
2131209102132 has 144 divisors (see below), whose sum is σ = 5977192725504. Its totient is φ = 634899720000.
The previous prime is 2131209102101. The next prime is 2131209102137. The reversal of 2131209102132 is 2312019021312.
It is a junction number, because it is equal to n+sod(n) for n = 2131209102096 and 2131209102105.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2131209102137) 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, 5358757 + ... + 5742707.
It is an arithmetic number, because the mean of its divisors is an integer number (41508282816).
Almost surely, 22131209102132 is an apocalyptic number.
2131209102132 is a gapful number since it is divisible by the number (22) 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 2131209102132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988596362752).
2131209102132 is an abundant number, since it is smaller than the sum of its proper divisors (3845983623372).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2131209102132 is a wasteful number, since it uses less digits than its factorization.
2131209102132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 384210 (or 384205 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 27.
The spelling of 2131209102132 in words is "two trillion, one hundred thirty-one billion, two hundred nine million, one hundred two thousand, one hundred thirty-two".
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