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854101008029 is a prime number
BaseRepresentation
bin11000110110111000110…
…00110001111010011101
310000122120202201201000202
430123130120301322131
5102443144324224104
61452211340433245
7115464263532263
oct14333430617235
93018522651022
10854101008029
112aa249830885
12119644848825
1362706545369
142d4a55c0433
151733cc1051e
hexc6dc631e9d

854101008029 has 2 divisors, whose sum is σ = 854101008030. Its totient is φ = 854101008028.

The previous prime is 854101007987. The next prime is 854101008067. The reversal of 854101008029 is 920800101458.

It is an a-pointer prime, because the next prime (854101008067) can be obtained adding 854101008029 to its sum of digits (38).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 529804927129 + 324296080900 = 727877^2 + 569470^2 .

It is a cyclic number.

It is not a de Polignac number, because 854101008029 - 228 = 853832572573 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 854101007983 and 854101008001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (854101008329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 427050504014 + 427050504015.

It is an arithmetic number, because the mean of its divisors is an integer number (427050504015).

Almost surely, 2854101008029 is an apocalyptic number.

It is an amenable number.

854101008029 is a deficient number, since it is larger than the sum of its proper divisors (1).

854101008029 is an equidigital number, since it uses as much as digits as its factorization.

854101008029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23040, while the sum is 38.

The spelling of 854101008029 in words is "eight hundred fifty-four billion, one hundred one million, eight thousand, twenty-nine".