Base | Representation |
---|---|
bin | 1110100110100… |
… | …11101110000000 |
3 | 22112111202011201 |
4 | 13103103232000 |
5 | 222330031031 |
6 | 20053350544 |
7 | 3015151510 |
oct | 723235600 |
9 | 275452151 |
10 | 122502016 |
11 | 6317063a |
12 | 35038454 |
13 | 1c4c1a00 |
14 | 123ab840 |
15 | ab4bd61 |
hex | 74d3b80 |
122502016 has 96 divisors (see below), whose sum is σ = 302389200. Its totient is φ = 48402432.
The previous prime is 122502013. The next prime is 122502019. The reversal of 122502016 is 610205221.
It is an interprime number because it is at equal distance from previous prime (122502013) and next prime (122502019).
It is a junction number, because it is equal to n+sod(n) for n = 122501984 and 122502002.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122502011) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151020 + ... + 151828.
Almost surely, 2122502016 is an apocalyptic number.
122502016 is a gapful number since it is divisible by the number (16) 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 122502016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151194600).
122502016 is an abundant number, since it is smaller than the sum of its proper divisors (179887184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122502016 is an equidigital number, since it uses as much as digits as its factorization.
122502016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 856 (or 831 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 19.
The square root of 122502016 is about 11068.0628838112. The cubic root of 122502016 is about 496.6469186228.
Adding to 122502016 its reverse (610205221), we get a palindrome (732707237).
The spelling of 122502016 in words is "one hundred twenty-two million, five hundred two thousand, sixteen".
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