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1101000013819 is a prime number
BaseRepresentation
bin10000000001011000101…
…101101111011111111011
310220020212120202201210121
4100001120231233133323
5121014322000420234
62201443055154111
7142354543463506
oct20013055573773
93806776681717
101101000013819
11394a278941a2
1215946a815937
137ca9301b824
143b40821a13d
151d98d6864b4
hex10058b6f7fb

1101000013819 has 2 divisors, whose sum is σ = 1101000013820. Its totient is φ = 1101000013818.

The previous prime is 1101000013807. The next prime is 1101000013843. The reversal of 1101000013819 is 9183100001011.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1101000013819 - 29 = 1101000013307 is a prime.

It is a super-2 number, since 2×11010000138192 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1101000013793 and 1101000013802.

It is not a weakly prime, because it can be changed into another prime (1101000013859) 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 as a sum of consecutive naturals, namely, 550500006909 + 550500006910.

It is an arithmetic number, because the mean of its divisors is an integer number (550500006910).

Almost surely, 21101000013819 is an apocalyptic number.

1101000013819 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101000013819 is an equidigital number, since it uses as much as digits as its factorization.

1101000013819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 25.

The spelling of 1101000013819 in words is "one trillion, one hundred one billion, thirteen thousand, eight hundred nineteen".