Base | Representation |
---|---|
bin | 11101011001011111111… |
… | …10011001100010000100 |
3 | 10120120022011010112011112 |
4 | 32230233332121202010 |
5 | 113022212240414340 |
6 | 2052013240224152 |
7 | 132656525020526 |
oct | 16545776314204 |
9 | 3516264115145 |
10 | 1010122201220 |
11 | 35a432715550 |
12 | 143927a6b058 |
13 | 7433c3a0b12 |
14 | 36c668d9a16 |
15 | 1b420212065 |
hex | eb2ff99884 |
1010122201220 has 96 divisors (see below), whose sum is σ = 2439143884800. Its totient is φ = 347520240000.
The previous prime is 1010122201211. The next prime is 1010122201223. The reversal of 1010122201220 is 221022210101.
1010122201220 is digitally balanced in base 12, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×10101222012202 (a number of 25 digits) contains 22 as substring.
1010122201220 is strictly pandigital in base 12.
It is a junction number, because it is equal to n+sod(n) for n = 1010122201195 and 1010122201204.
It is not an unprimeable number, because it can be changed into a prime (1010122201223) 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, 2978291 + ... + 3300069.
It is an arithmetic number, because the mean of its divisors is an integer number (25407748800).
Almost surely, 21010122201220 is an apocalyptic number.
1010122201220 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 1010122201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219571942400).
1010122201220 is an abundant number, since it is smaller than the sum of its proper divisors (1429021683580).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1010122201220 is a wasteful number, since it uses less digits than its factorization.
1010122201220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 322569 (or 322567 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 14.
Adding to 1010122201220 its reverse (221022210101), we get a palindrome (1231144411321).
The spelling of 1010122201220 in words is "one trillion, ten billion, one hundred twenty-two million, two hundred one thousand, two hundred twenty".
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