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123354045 = 3252741201
BaseRepresentation
bin1110101101000…
…11101110111101
322121010000221100
413112203232331
5223034312140
620123523313
73025330533
oct726435675
9277100840
10123354045
11636a27a1
1235389539
131c72c779
1412550153
15ac69530
hex75a3bbd

123354045 has 12 divisors (see below), whose sum is σ = 213813756. Its totient is φ = 65788800.

The previous prime is 123354043. The next prime is 123354047. The reversal of 123354045 is 540453321.

It is an interprime number because it is at equal distance from previous prime (123354043) and next prime (123354047).

It can be written as a sum of positive squares in 2 ways, for example, as 20169081 + 103184964 = 4491^2 + 10158^2 .

It is not a de Polignac number, because 123354045 - 21 = 123354043 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123354043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1370556 + ... + 1370645.

It is an arithmetic number, because the mean of its divisors is an integer number (17817813).

Almost surely, 2123354045 is an apocalyptic number.

123354045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123354045 is a deficient number, since it is larger than the sum of its proper divisors (90459711).

123354045 is a wasteful number, since it uses less digits than its factorization.

123354045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741212 (or 2741209 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 123354045 is about 11106.4866181885. The cubic root of 123354045 is about 497.7956896460.

It can be divided in two parts, 1233 and 54045, that added together give a triangular number (55278 = T332).

The spelling of 123354045 in words is "one hundred twenty-three million, three hundred fifty-four thousand, forty-five".

Divisors: 1 3 5 9 15 45 2741201 8223603 13706005 24670809 41118015 123354045