Base | Representation |
---|---|
bin | 1100010011011… |
… | …10100100010100 |
3 | 21012012210002000 |
4 | 12021232210110 |
5 | 202410311312 |
6 | 14124115300 |
7 | 2362204335 |
oct | 611564424 |
9 | 235183060 |
10 | 103213332 |
11 | 53296782 |
12 | 2a695b30 |
13 | 184ca2a1 |
14 | d9ca28c |
15 | 90dbadc |
hex | 626e914 |
103213332 has 48 divisors (see below), whose sum is σ = 269404800. Its totient is φ = 34171200.
The previous prime is 103213321. The next prime is 103213333. The reversal of 103213332 is 233312301.
103213332 is a `hidden beast` number, since 10 + 321 + 3 + 332 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (103213333) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13144 + ... + 19472.
It is an arithmetic number, because the mean of its divisors is an integer number (5612600).
Almost surely, 2103213332 is an apocalyptic number.
103213332 is a gapful number since it is divisible by the number (12) 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 103213332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134702400).
103213332 is an abundant number, since it is smaller than the sum of its proper divisors (166191468).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103213332 is a wasteful number, since it uses less digits than its factorization.
103213332 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6493 (or 6485 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
The square root of 103213332 is about 10159.3962419034. The cubic root of 103213332 is about 469.0782174894.
Adding to 103213332 its reverse (233312301), we get a palindrome (336525633).
The spelling of 103213332 in words is "one hundred three million, two hundred thirteen thousand, three hundred thirty-two".
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