Base | Representation |
---|---|
bin | 1101011110001100000… |
… | …1100101111001100100 |
3 | 211010101121011110202210 |
4 | 3113203001211321210 |
5 | 12242443140041400 |
6 | 254153435403420 |
7 | 22502231331213 |
oct | 3274301457144 |
9 | 733347143683 |
10 | 231442112100 |
11 | 8a177047411 |
12 | 38a315b3570 |
13 | 18a953b8a34 |
14 | b2b7c8107a |
15 | 60489b0950 |
hex | 35e3065e64 |
231442112100 has 144 divisors (see below), whose sum is σ = 687385879488. Its totient is φ = 60091368960.
The previous prime is 231442112093. The next prime is 231442112107. The reversal of 231442112100 is 1211244132.
231442112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (231442112093) and next prime (231442112107).
It is not an unprimeable number, because it can be changed into a prime (231442112107) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4061002 + ... + 4117598.
It is an arithmetic number, because the mean of its divisors is an integer number (4773513052).
Almost surely, 2231442112100 is an apocalyptic number.
231442112100 is a gapful number since it is divisible by the number (20) 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 231442112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343692939744).
231442112100 is an abundant number, since it is smaller than the sum of its proper divisors (455943767388).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
231442112100 is a wasteful number, since it uses less digits than its factorization.
231442112100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 56974 (or 56967 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 21.
Adding to 231442112100 its reverse (1211244132), we get a palindrome (232653356232).
The spelling of 231442112100 in words is "two hundred thirty-one billion, four hundred forty-two million, one hundred twelve thousand, one hundred".
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