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123216841 = 1121377433
BaseRepresentation
bin1110101100000…
…10001111001001
322120212001201201
413112002033021
5223020414331
620120544201
73024216526
oct726021711
9276761651
10123216841
1163609700
1235322061
131c6b2197
141251614d
15ac3da61
hex75823c9

123216841 has 12 divisors (see below), whose sum is σ = 136443636. Its totient is φ = 111182720.

The previous prime is 123216827. The next prime is 123216871. The reversal of 123216841 is 148612321.

It can be written as a sum of positive squares in 2 ways, for example, as 34762816 + 88454025 = 5896^2 + 9405^2 .

It is not a de Polignac number, because 123216841 - 25 = 123216809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123216811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12861 + ... + 20293.

It is an arithmetic number, because the mean of its divisors is an integer number (11370303).

Almost surely, 2123216841 is an apocalyptic number.

123216841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123216841 is a deficient number, since it is larger than the sum of its proper divisors (13226795).

123216841 is a wasteful number, since it uses less digits than its factorization.

123216841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7592 (or 7581 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 123216841 is about 11100.3081488759. The cubic root of 123216841 is about 497.6110587646.

The spelling of 123216841 in words is "one hundred twenty-three million, two hundred sixteen thousand, eight hundred forty-one".

Divisors: 1 11 121 137 1507 7433 16577 81763 899393 1018321 11201531 123216841