Base | Representation |
---|---|
bin | 11011101111010111010100… |
… | …011111001111010110100100 |
3 | 120222222021202212211220021112 |
4 | 123233113110133033112210 |
5 | 111442340310404031040 |
6 | 1111250555052004152 |
7 | 34461235021001114 |
oct | 3357272437172644 |
9 | 528867685756245 |
10 | 122002111002020 |
11 | 35967894088067 |
12 | 118249b0160658 |
13 | 530c999131862 |
14 | 221ad10031044 |
15 | e1884cb20365 |
hex | 6ef5d47cf5a4 |
122002111002020 has 24 divisors (see below), whose sum is σ = 256214613526200. Its totient is φ = 48798905272832.
The previous prime is 122002111002001. The next prime is 122002111002091. The reversal of 122002111002020 is 20200111200221.
It can be written as a sum of positive squares in 4 ways, for example, as 123337225636 + 121878773776384 = 351194^2 + 11039872^2 .
It is a junction number, because it is equal to n+sod(n) for n = 122002111001986 and 122002111002004.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120679535 + ... + 121686294.
It is an arithmetic number, because the mean of its divisors is an integer number (10675608896925).
Almost surely, 2122002111002020 is an apocalyptic number.
122002111002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
122002111002020 is an abundant number, since it is smaller than the sum of its proper divisors (134212502524180).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122002111002020 is a wasteful number, since it uses less digits than its factorization.
122002111002020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 242391007 (or 242391005 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 14.
Adding to 122002111002020 its reverse (20200111200221), we get a palindrome (142202222202241).
The spelling of 122002111002020 in words is "one hundred twenty-two trillion, two billion, one hundred eleven million, two thousand, twenty".
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