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123069338353 = 132728220937
BaseRepresentation
bin111001010011110000…
…0010001001011110001
3102202122220200011011201
41302213200101023301
54004021222311403
6132312015011201
711614526054503
oct1624740211361
9382586604151
10123069338353
1148214484495
121ba27809b01
13b7b4068200
145d56c3bd73
15330469421d
hex1ca78112f1

123069338353 has 6 divisors (see below), whose sum is σ = 133264431654. Its totient is φ = 113602466016.

The previous prime is 123069338347. The next prime is 123069338363. The reversal of 123069338353 is 353833960321.

It can be written as a sum of positive squares in 3 ways, for example, as 17273319184 + 105796019169 = 131428^2 + 325263^2 .

It is not a de Polignac number, because 123069338353 - 225 = 123035783921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123069338303) 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 5 ways as a sum of consecutive naturals, for example, 364110300 + ... + 364110637.

It is an arithmetic number, because the mean of its divisors is an integer number (22210738609).

Almost surely, 2123069338353 is an apocalyptic number.

123069338353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

123069338353 is a deficient number, since it is larger than the sum of its proper divisors (10195093301).

123069338353 is an equidigital number, since it uses as much as digits as its factorization.

123069338353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728220963 (or 728220950 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 46.

The spelling of 123069338353 in words is "one hundred twenty-three billion, sixty-nine million, three hundred thirty-eight thousand, three hundred fifty-three".

Divisors: 1 13 169 728220937 9466872181 123069338353