Base | Representation |
---|---|
bin | 101110101010110010… |
… | …1000010100100010010 |
3 | 100120200111122120100000 |
4 | 1131111211002210102 |
5 | 3120222311133020 |
6 | 114012422510430 |
7 | 10145355060114 |
oct | 1352545024422 |
9 | 316614576300 |
10 | 100220021010 |
11 | 3955965314a |
12 | 1750b595416 |
13 | 95b22868a5 |
14 | 4bca3753b4 |
15 | 29186eb090 |
hex | 1755942912 |
100220021010 has 96 divisors (see below), whose sum is σ = 271200226752. Its totient is φ = 26628678720.
The previous prime is 100220020963. The next prime is 100220021023. The reversal of 100220021010 is 10120022001.
It is a super-2 number, since 2×1002200210102 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 100220020983 and 100220021001.
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, 598665 + ... + 747555.
It is an arithmetic number, because the mean of its divisors is an integer number (2825002362).
Almost surely, 2100220021010 is an apocalyptic number.
100220021010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 100220021010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135600113376).
100220021010 is an abundant number, since it is smaller than the sum of its proper divisors (170980205742).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100220021010 is a wasteful number, since it uses less digits than its factorization.
100220021010 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 149190 (or 149178 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 100220021010 its reverse (10120022001), we get a palindrome (110340043011).
Subtracting from 100220021010 its reverse (10120022001), we obtain a palindrome (90099999009).
The spelling of 100220021010 in words is "one hundred billion, two hundred twenty million, twenty-one thousand, ten".
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