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20385537000329 is a prime number
BaseRepresentation
bin1001010001010011000001…
…01100010000001110001001
32200011211122010100100221002
410220221200230100032021
510132444034433002304
6111204553022024345
74202543416323044
oct450514054201611
980154563310832
1020385537000329
11654a504206746
122352a2b1180b5
13b4b46a4144b7
14506945663c5b
1525541bb9131e
hex128a60b10389

20385537000329 has 2 divisors, whose sum is σ = 20385537000330. Its totient is φ = 20385537000328.

The previous prime is 20385537000193. The next prime is 20385537000347. The reversal of 20385537000329 is 92300073558302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18915497148025 + 1470039852304 = 4349195^2 + 1212452^2 .

It is a cyclic number.

It is not a de Polignac number, because 20385537000329 - 224 = 20385520223113 is a prime.

It is a super-2 number, since 2×203855370003292 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20385537000359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10192768500164 + 10192768500165.

It is an arithmetic number, because the mean of its divisors is an integer number (10192768500165).

Almost surely, 220385537000329 is an apocalyptic number.

It is an amenable number.

20385537000329 is a deficient number, since it is larger than the sum of its proper divisors (1).

20385537000329 is an equidigital number, since it uses as much as digits as its factorization.

20385537000329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1360800, while the sum is 47.

The spelling of 20385537000329 in words is "twenty trillion, three hundred eighty-five billion, five hundred thirty-seven million, three hundred twenty-nine", and thus it is an aban number.