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123017042034 = 234977777241
BaseRepresentation
bin111001010010001100…
…0110001100001110010
3102202112021021020010000
41302210120301201302
54003414330321114
6132302510050430
711613322414215
oct1624430614162
9382467236100
10123017042034
1148197a05497
121ba121a9a16
13b7a6287843
145d4dd0777c
1532eecb3e09
hex1ca4631872

123017042034 has 40 divisors (see below), whose sum is σ = 275931791388. Its totient is φ = 40963656960.

The previous prime is 123017042017. The next prime is 123017042039. The reversal of 123017042034 is 430240710321.

It is a happy number.

123017042034 is a `hidden beast` number, since 1 + 230 + 1 + 7 + 0 + 420 + 3 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 111579381225 + 11437660809 = 334035^2 + 106947^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 123017041989 and 123017042007.

It is not an unprimeable number, because it can be changed into a prime (123017042039) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 230347 + ... + 546894.

Almost surely, 2123017042034 is an apocalyptic number.

123017042034 is an abundant number, since it is smaller than the sum of its proper divisors (152914749354).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123017042034 is an equidigital number, since it uses as much as digits as its factorization.

123017042034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778232 (or 778223 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 123017042034 its reverse (430240710321), we get a palindrome (553257752355).

The spelling of 123017042034 in words is "one hundred twenty-three billion, seventeen million, forty-two thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 977 1954 2931 5862 8793 17586 26379 52758 79137 158274 777241 1554482 2331723 4663446 6995169 13990338 20985507 41971014 62956521 125913042 759364457 1518728914 2278093371 4556186742 6834280113 13668560226 20502840339 41005680678 61508521017 123017042034