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1600391138201 is a prime number
BaseRepresentation
bin10111010010011110101…
…111101100101110011001
312122222220000021100201022
4113102132233230232121
5202210100112410301
63223113132132225
7223424120136452
oct27223657545631
95588800240638
101600391138201
115677a40913a9
1221a1bb907075
13b7bbac83b6b
1457660626129
152b96aae6d1b
hex1749ebecb99

1600391138201 has 2 divisors, whose sum is σ = 1600391138202. Its totient is φ = 1600391138200.

The previous prime is 1600391138107. The next prime is 1600391138257. The reversal of 1600391138201 is 1028311930061.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1588003225600 + 12387912601 = 1260160^2 + 111301^2 .

It is a cyclic number.

It is not a de Polignac number, because 1600391138201 - 230 = 1599317396377 is a prime.

It is a super-2 number, since 2×16003911382012 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1600391138261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 800195569100 + 800195569101.

It is an arithmetic number, because the mean of its divisors is an integer number (800195569101).

Almost surely, 21600391138201 is an apocalyptic number.

It is an amenable number.

1600391138201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1600391138201 is an equidigital number, since it uses as much as digits as its factorization.

1600391138201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 35.

The spelling of 1600391138201 in words is "one trillion, six hundred billion, three hundred ninety-one million, one hundred thirty-eight thousand, two hundred one".