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832245348101 = 53149105387533
BaseRepresentation
bin11000001110001011011…
…00000011011100000101
32221120011121110010220112
430013011230003130011
5102113414302114401
61434154522042405
7114061546511156
oct14070554033405
92846147403815
10832245348101
112a0a53891012
12115365349405
136063258cccb
142c3d0a9392d
15169ae0e43bb
hexc1c5b03705

832245348101 has 8 divisors (see below), whose sum is σ = 853639025400. Its totient is φ = 811062446272.

The previous prime is 832245348059. The next prime is 832245348149. The reversal of 832245348101 is 101843542238.

It can be written as a sum of positive squares in 4 ways, for example, as 124545468100 + 707699880001 = 352910^2 + 841249^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-832245348101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (832245348161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52685870 + ... + 52701663.

It is an arithmetic number, because the mean of its divisors is an integer number (106704878175).

Almost surely, 2832245348101 is an apocalyptic number.

It is an amenable number.

832245348101 is a deficient number, since it is larger than the sum of its proper divisors (21393677299).

832245348101 is a wasteful number, since it uses less digits than its factorization.

832245348101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105387735.

The product of its (nonzero) digits is 184320, while the sum is 41.

The spelling of 832245348101 in words is "eight hundred thirty-two billion, two hundred forty-five million, three hundred forty-eight thousand, one hundred one".

Divisors: 1 53 149 7897 105387533 5585539249 15702742417 832245348101