Base | Representation |
---|---|
bin | 111001010010000001… |
… | …0100100111000111110 |
3 | 102202111212022121001000 |
4 | 1302210002210320332 |
5 | 4003411333114402 |
6 | 132302141231130 |
7 | 11613222100335 |
oct | 1624402447076 |
9 | 382455277030 |
10 | 123011223102 |
11 | 481946a0659 |
12 | 1ba102624a6 |
13 | b7a4ccb0a1 |
14 | 5d4d230d1c |
15 | 32ee514c1c |
hex | 1ca40a4e3e |
123011223102 has 64 divisors (see below), whose sum is σ = 281939097600. Its totient is φ = 39733898400.
The previous prime is 123011223073. The next prime is 123011223113. The reversal of 123011223102 is 201322110321.
123011223102 is a `hidden beast` number, since 1 + 230 + 1 + 122 + 310 + 2 = 666.
123011223102 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1230112231022 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16399 + ... + 496277.
It is an arithmetic number, because the mean of its divisors is an integer number (4405298400).
Almost surely, 2123011223102 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 123011223102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140969548800).
123011223102 is an abundant number, since it is smaller than the sum of its proper divisors (158927874498).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123011223102 is a wasteful number, since it uses less digits than its factorization.
123011223102 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 480038 (or 480032 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 123011223102 its reverse (201322110321), we get a palindrome (324333333423).
The spelling of 123011223102 in words is "one hundred twenty-three billion, eleven million, two hundred twenty-three thousand, one hundred two".
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