Base | Representation |
---|---|
bin | 101111100000011011… |
… | …1011010110011111100 |
3 | 100202022221122000201022 |
4 | 1133000313122303330 |
5 | 3132414110013040 |
6 | 114511202403312 |
7 | 10241102462210 |
oct | 1370067326374 |
9 | 322287560638 |
10 | 102020001020 |
11 | 3a2a26a3833 |
12 | 17932360538 |
13 | 980b16a812 |
14 | 4d1b444940 |
15 | 29c174d6b5 |
hex | 17c0ddacfc |
102020001020 has 96 divisors (see below), whose sum is σ = 247582573056. Its totient is φ = 34588512000.
The previous prime is 102020001011. The next prime is 102020001029. The reversal of 102020001020 is 20100020201.
It is an interprime number because it is at equal distance from previous prime (102020001011) and next prime (102020001029).
It is a junction number, because it is equal to n+sod(n) for n = 102020000989 and 102020001007.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (102020001029) 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, 12481535 + ... + 12489705.
It is an arithmetic number, because the mean of its divisors is an integer number (2578985136).
Almost surely, 2102020001020 is an apocalyptic number.
102020001020 is a gapful number since it is divisible by the number (10) 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 102020001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123791286528).
102020001020 is an abundant number, since it is smaller than the sum of its proper divisors (145562572036).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102020001020 is a wasteful number, since it uses less digits than its factorization.
102020001020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9171 (or 9169 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 8.
Adding to 102020001020 its reverse (20100020201), we get a palindrome (122120021221).
The spelling of 102020001020 in words is "one hundred two billion, twenty million, one thousand, twenty".
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