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100818000029 is a prime number
BaseRepresentation
bin101110111100100111…
…0001001100010011101
3100122020011212001100002
41131321032021202131
53122433402000104
6114152023344045
710166235601145
oct1357116114235
9318204761302
10100818000029
113983615068a
12176578b2025
139679125626
144c45953925
152950e6a01e
hex177938989d

100818000029 has 2 divisors, whose sum is σ = 100818000030. Its totient is φ = 100818000028.

The previous prime is 100817999981. The next prime is 100818000071. The reversal of 100818000029 is 920000818001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59791497529 + 41026502500 = 244523^2 + 202550^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100818000029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100817999965 and 100818000010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100818000529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50409000014 + 50409000015.

It is an arithmetic number, because the mean of its divisors is an integer number (50409000015).

Almost surely, 2100818000029 is an apocalyptic number.

It is an amenable number.

100818000029 is a deficient number, since it is larger than the sum of its proper divisors (1).

100818000029 is an equidigital number, since it uses as much as digits as its factorization.

100818000029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 29.

The spelling of 100818000029 in words is "one hundred billion, eight hundred eighteen million, twenty-nine", and thus it is an aban number.