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1001211313229 is a prime number
BaseRepresentation
bin11101001000111001101…
…10000011110001001101
310112201022010201111211222
432210130312003301031
5112400440044010404
62043541121053125
7132222643513331
oct16443466036115
93481263644758
101001211313229
1135667a759506
1214205b7871a5
137354c22152a
143665d27d7c1
151b09cc88dbe
hexe91cd83c4d

1001211313229 has 2 divisors, whose sum is σ = 1001211313230. Its totient is φ = 1001211313228.

The previous prime is 1001211313181. The next prime is 1001211313321. The reversal of 1001211313229 is 9223131121001.

1001211313229 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 873495852100 + 127715461129 = 934610^2 + 357373^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001211313229 - 232 = 996916345933 is a prime.

It is a super-3 number, since 3×10012113132293 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001211313198 and 1001211313207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001211313429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500605656614 + 500605656615.

It is an arithmetic number, because the mean of its divisors is an integer number (500605656615).

Almost surely, 21001211313229 is an apocalyptic number.

It is an amenable number.

1001211313229 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001211313229 is an equidigital number, since it uses as much as digits as its factorization.

1001211313229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 26.

The spelling of 1001211313229 in words is "one trillion, one billion, two hundred eleven million, three hundred thirteen thousand, two hundred twenty-nine".