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123201233034 = 231113946129131
BaseRepresentation
bin111001010111101011…
…1011010000010001010
3102210000002212002122220
41302233113122002022
54004304003424114
6132333045554510
711621020126215
oct1625727320212
9383002762586
10123201233034
114828197a960
121ba63a15a36
13b8054981b9
145d6a57277c
1533110490a9
hex1caf5da08a

123201233034 has 64 divisors (see below), whose sum is σ = 271333117440. Its totient is φ = 36983448000.

The previous prime is 123201233011. The next prime is 123201233063. The reversal of 123201233034 is 430332102321.

It is a junction number, because it is equal to n+sod(n) for n = 123201232995 and 123201233013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4214649 + ... + 4243779.

It is an arithmetic number, because the mean of its divisors is an integer number (4239579960).

Almost surely, 2123201233034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123201233034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135666558720).

123201233034 is an abundant number, since it is smaller than the sum of its proper divisors (148131884406).

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

123201233034 is a wasteful number, since it uses less digits than its factorization.

123201233034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29747.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 123201233034 its reverse (430332102321), we get a palindrome (553533335355).

The spelling of 123201233034 in words is "one hundred twenty-three billion, two hundred one million, two hundred thirty-three thousand, thirty-four".

Divisors: 1 2 3 6 11 22 33 66 139 278 417 461 834 922 1383 1529 2766 3058 4587 5071 9174 10142 15213 29131 30426 58262 64079 87393 128158 174786 192237 320441 384474 640882 704869 961323 1409738 1922646 2114607 4049209 4229214 8098418 12147627 13429391 24295254 26858782 40288173 44541299 80576346 89082598 133623897 147723301 267247794 295446602 443169903 886339806 1866685349 3733370698 5600056047 11200112094 20533538839 41067077678 61600616517 123201233034