Base | Representation |
---|---|
bin | 11101110001100001011… |
… | …11111110111001100100 |
3 | 10121210121000210201202112 |
4 | 32320300233332321210 |
5 | 113230121121214340 |
6 | 2101545143100152 |
7 | 133624251245525 |
oct | 16706057767144 |
9 | 3553530721675 |
10 | 1023020101220 |
11 | 3649511a4737 |
12 | 146327441658 |
13 | 75616575200 |
14 | 3772b88884c |
15 | 1b9276e7065 |
hex | ee30bfee64 |
1023020101220 has 144 divisors (see below), whose sum is σ = 2373639956352. Its totient is φ = 370111472640.
The previous prime is 1023020101219. The next prime is 1023020101241. The reversal of 1023020101220 is 221010203201.
It is a happy number.
It is a super-3 number, since 3×10230201012203 (a number of 37 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 1023020101195 and 1023020101204.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39103664 + ... + 39129816.
It is an arithmetic number, because the mean of its divisors is an integer number (16483610808).
Almost surely, 21023020101220 is an apocalyptic number.
1023020101220 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 1023020101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186819978176).
1023020101220 is an abundant number, since it is smaller than the sum of its proper divisors (1350619855132).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023020101220 is a wasteful number, since it uses less digits than its factorization.
1023020101220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 26422 (or 26407 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 14.
Adding to 1023020101220 its reverse (221010203201), we get a palindrome (1244030304421).
The spelling of 1023020101220 in words is "one trillion, twenty-three billion, twenty million, one hundred one thousand, two hundred twenty".
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