Base | Representation |
---|---|
bin | 1100000100010… |
… | …00101010000000 |
3 | 21001110122220111 |
4 | 12002020222000 |
5 | 201403114130 |
6 | 14013321104 |
7 | 2336244622 |
oct | 602105200 |
9 | 231418814 |
10 | 101223040 |
11 | 52157406 |
12 | 29a96194 |
13 | 17c813b9 |
14 | d62cc12 |
15 | 8d4702a |
hex | 6088a80 |
101223040 has 32 divisors (see below), whose sum is σ = 241987860. Its totient is φ = 40488960.
The previous prime is 101223037. The next prime is 101223043. The reversal of 101223040 is 40322101.
It is an interprime number because it is at equal distance from previous prime (101223037) and next prime (101223043).
It can be written as a sum of positive squares in 2 ways, for example, as 99840064 + 1382976 = 9992^2 + 1176^2 .
It is a tau number, because it is divible by the number of its divisors (32).
It is a super-2 number, since 2×1012230402 = 20492207653683200, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 101223040.
It is not an unprimeable number, because it can be changed into a prime (101223043) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 78441 + ... + 79720.
Almost surely, 2101223040 is an apocalyptic number.
101223040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
101223040 is an abundant number, since it is smaller than the sum of its proper divisors (140764820).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101223040 is an equidigital number, since it uses as much as digits as its factorization.
101223040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 158180 (or 158168 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 13.
The square root of 101223040 is about 10060.9661563888. The cubic root of 101223040 is about 466.0435038315.
Adding to 101223040 its reverse (40322101), we get a palindrome (141545141).
The spelling of 101223040 in words is "one hundred one million, two hundred twenty-three thousand, forty".
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