Base | Representation |
---|---|
bin | 11110100101110000101… |
… | …101111101000000101000 |
3 | 21102221222001122121021000 |
4 | 132211300231331000220 |
5 | 233420130301233222 |
6 | 4245412155315000 |
7 | 304605513023262 |
oct | 36456055750050 |
9 | 7387861577230 |
10 | 2102130102312 |
11 | 740565705319 |
12 | 29b4a714ba60 |
13 | 1232cb471386 |
14 | 73a5a794b32 |
15 | 39a342289ac |
hex | 1e970b7d028 |
2102130102312 has 128 divisors (see below), whose sum is σ = 5943333888000. Its totient is φ = 688240463040.
The previous prime is 2102130102311. The next prime is 2102130102343. The reversal of 2102130102312 is 2132010312012.
2102130102312 is a `hidden beast` number, since 210 + 2 + 130 + 10 + 2 + 312 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (2102130102311) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14852793 + ... + 14993655.
It is an arithmetic number, because the mean of its divisors is an integer number (46432296000).
Almost surely, 22102130102312 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2102130102312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971666944000).
2102130102312 is an abundant number, since it is smaller than the sum of its proper divisors (3841203785688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2102130102312 is a wasteful number, since it uses less digits than its factorization.
2102130102312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 142108 (or 142098 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 2102130102312 its reverse (2132010312012), we get a palindrome (4234140414324).
The spelling of 2102130102312 in words is "two trillion, one hundred two billion, one hundred thirty million, one hundred two thousand, three hundred twelve".
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