Base | Representation |
---|---|
bin | 11101000110110101001… |
… | …10110100011101100111 |
3 | 10112121102200122002000222 |
4 | 32203122212310131213 |
5 | 112341201101201434 |
6 | 2043234542154555 |
7 | 132153260632502 |
oct | 16433246643547 |
9 | 3477380562028 |
10 | 1000100022119 |
11 | 35615a432000 |
12 | 1419ab582a5b |
13 | 73402c19423 |
14 | 36595842139 |
15 | 1b03542272e |
hex | e8da9b4767 |
1000100022119 has 32 divisors (see below), whose sum is σ = 1119795563520. Its totient is φ = 892954560960.
The previous prime is 1000100022113. The next prime is 1000100022121. The reversal of 1000100022119 is 9112200010001.
It is a de Polignac number, because none of the positive numbers 2k-1000100022119 is a prime.
It is a super-2 number, since 2×10001000221192 (a number of 25 digits) contains 22 as substring.
It is a Duffinian number.
1000100022119 is a modest number, since divided by 22119 gives 10001 as remainder.
It is a junction number, because it is equal to n+sod(n) for n = 1000100022097 and 1000100022106.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1000100022113) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23200424 + ... + 23243490.
It is an arithmetic number, because the mean of its divisors is an integer number (34993611360).
Almost surely, 21000100022119 is an apocalyptic number.
1000100022119 is a deficient number, since it is larger than the sum of its proper divisors (119695541401).
1000100022119 is an equidigital number, since it uses as much as digits as its factorization.
1000100022119 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 43412 (or 43390 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 17.
The spelling of 1000100022119 in words is "one trillion, one hundred million, twenty-two thousand, one hundred nineteen".
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