Search a number
-
+
123755401 = 71110115913
BaseRepresentation
bin1110110000001…
…01101110001001
322121212102111101
413120011232021
5223140133101
620140301401
73031621630
oct730055611
9277772441
10123755401
11639472a0
1235541861
131c840363
1412616517
15ace8401
hex7605b89

123755401 has 16 divisors (see below), whose sum is σ = 155829888. Its totient is φ = 95472000.

The previous prime is 123755399. The next prime is 123755431. The reversal of 123755401 is 104557321.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 123755401 - 21 = 123755399 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 123755401.

It is not an unprimeable number, because it can be changed into a prime (123755431) 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 15 ways as a sum of consecutive naturals, for example, 180 + ... + 15733.

It is an arithmetic number, because the mean of its divisors is an integer number (9739368).

Almost surely, 2123755401 is an apocalyptic number.

123755401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123755401 is a deficient number, since it is larger than the sum of its proper divisors (32074487).

123755401 is a wasteful number, since it uses less digits than its factorization.

123755401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16032.

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 123755401 is about 11124.5404848919. The cubic root of 123755401 is about 498.3349963467.

The spelling of 123755401 in words is "one hundred twenty-three million, seven hundred fifty-five thousand, four hundred one".

Divisors: 1 7 11 77 101 707 1111 7777 15913 111391 175043 1225301 1607213 11250491 17679343 123755401