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123111424256 = 283469138629
BaseRepresentation
bin111001010101000000…
…0110100000100000000
3102202202211212100011212
41302222000310010000
54004113011034011
6132320121025252
711615546561102
oct1625200640400
9382684770155
10123111424256
114823620a227
121ba39925228
13b7bc9b2302
145d5c675572
15330820908b
hex1caa034100

123111424256 has 36 divisors (see below), whose sum is σ = 245814557100. Its totient is φ = 61537523712.

The previous prime is 123111424253. The next prime is 123111424259. The reversal of 123111424256 is 652424111321.

It is an interprime number because it is at equal distance from previous prime (123111424253) and next prime (123111424259).

It can be written as a sum of positive squares in 2 ways, for example, as 30549446656 + 92561977600 = 174784^2 + 304240^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (123111424253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 818750 + ... + 957378.

Almost surely, 2123111424256 is an apocalyptic number.

123111424256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

123111424256 is a deficient number, since it is larger than the sum of its proper divisors (122703132844).

123111424256 is an equidigital number, since it uses as much as digits as its factorization.

123111424256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142114 (or 142100 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

Adding to 123111424256 its reverse (652424111321), we get a palindrome (775535535577).

The spelling of 123111424256 in words is "one hundred twenty-three billion, one hundred eleven million, four hundred twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 3469 6938 13876 27752 55504 111008 138629 222016 277258 444032 554516 888064 1109032 2218064 4436128 8872256 17744512 35489024 480904001 961808002 1923616004 3847232008 7694464016 15388928032 30777856064 61555712128 123111424256