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4405155011129 is a prime number
BaseRepresentation
bin100000000011010011110…
…1100110001101000111001
3120121010110211022202210002
41000012213230301220321
51034133224140324004
613211411132002345
7633155563532105
oct100064754615071
916533424282702
104405155011129
111449241186144
125b18b96003b5
1325c53442a402
141132d3dd4905
15798c522961e
hex401a7b31a39

4405155011129 has 2 divisors, whose sum is σ = 4405155011130. Its totient is φ = 4405155011128.

The previous prime is 4405155011093. The next prime is 4405155011149. The reversal of 4405155011129 is 9211105515044.

4405155011129 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3155170638400 + 1249984372729 = 1776280^2 + 1118027^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4405155011129 is a prime.

It is a super-2 number, since 2×44051550111292 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4405155011092 and 4405155011101.

It is not a weakly prime, because it can be changed into another prime (4405155011149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2202577505564 + 2202577505565.

It is an arithmetic number, because the mean of its divisors is an integer number (2202577505565).

Almost surely, 24405155011129 is an apocalyptic number.

It is an amenable number.

4405155011129 is a deficient number, since it is larger than the sum of its proper divisors (1).

4405155011129 is an equidigital number, since it uses as much as digits as its factorization.

4405155011129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36000, while the sum is 38.

The spelling of 4405155011129 in words is "four trillion, four hundred five billion, one hundred fifty-five million, eleven thousand, one hundred twenty-nine".