Base | Representation |
---|---|
bin | 111001010101010100… |
… | …1100010100011000100 |
3 | 102202210120221202010100 |
4 | 1302222221202203010 |
5 | 4004123224203140 |
6 | 132321141524100 |
7 | 11616036404664 |
oct | 1625251424304 |
9 | 382716852110 |
10 | 123122100420 |
11 | 48241241400 |
12 | 1ba41413630 |
13 | b7c1c7c877 |
14 | 5d5dc541a4 |
15 | 3309117530 |
hex | 1caaa628c4 |
123122100420 has 108 divisors (see below), whose sum is σ = 410508827820. Its totient is φ = 29847776640.
The previous prime is 123122100403. The next prime is 123122100427. The reversal of 123122100420 is 24001221321.
It is a happy number.
123122100420 is a `hidden beast` number, since 1 + 2 + 31 + 2 + 210 + 0 + 420 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 72796356864 + 50325743556 = 269808^2 + 224334^2 .
It is a super-2 number, since 2×1231221004202 (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 junction number, because it is equal to n+sod(n) for n = 123122100393 and 123122100402.
It is not an unprimeable number, because it can be changed into a prime (123122100427) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2804715 + ... + 2848274.
It is an arithmetic number, because the mean of its divisors is an integer number (3801007665).
Almost surely, 2123122100420 is an apocalyptic number.
123122100420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
123122100420 is an abundant number, since it is smaller than the sum of its proper divisors (287386727400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123122100420 is a wasteful number, since it uses less digits than its factorization.
123122100420 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5653026 (or 5653010 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 123122100420 its reverse (24001221321), we get a palindrome (147123321741).
The spelling of 123122100420 in words is "one hundred twenty-three billion, one hundred twenty-two million, one hundred thousand, four hundred twenty".
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