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1000100022119 = 1137323943067
BaseRepresentation
bin11101000110110101001…
…10110100011101100111
310112121102200122002000222
432203122212310131213
5112341201101201434
62043234542154555
7132153260632502
oct16433246643547
93477380562028
101000100022119
1135615a432000
121419ab582a5b
1373402c19423
1436595842139
151b03542272e
hexe8da9b4767

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".

Divisors: 1 11 73 121 239 803 1331 2629 8833 17447 28919 43067 97163 191917 318109 473737 2111087 3143891 5211107 10293013 23221957 34582801 57322177 113223143 380410811 751389949 1245454573 4184518921 8265289439 13700000303 90918183829 1000100022119