| Base | Representation |
|---|---|
| bin | 1001100111100010111… |
| … | …0001001010110100100 |
| 3 | 120210111110010222221221 |
| 4 | 2121320232021112210 |
| 5 | 10201344413320400 |
| 6 | 203524004350124 |
| 7 | 14636440563400 |
| oct | 2317056112644 |
| 9 | 523443128857 |
| 10 | 165234120100 |
| 11 | 64091398055 |
| 12 | 280346a5344 |
| 13 | 1277376abca |
| 14 | 7dd6b1a100 |
| 15 | 447123cc1a |
| hex | 2678b895a4 |
165234120100 has 81 divisors (see below), whose sum is σ = 417169968033. Its totient is φ = 56641942560.
The previous prime is 165234120061. The next prime is 165234120109. The reversal of 165234120100 is 1021432561.
It is a happy number.
The square root of 165234120100 is 406490.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 59484283236 + 105749836864 = 243894^2 + 325192^2 .
It is a Harshad number since it is a multiple of its sum of digits (25).
It is not an unprimeable number, because it can be changed into a prime (165234120109) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28451397 + ... + 28457203.
Almost surely, 2165234120100 is an apocalyptic number.
165234120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
165234120100 is the 406490-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 165234120100
165234120100 is an abundant number, since it is smaller than the sum of its proper divisors (251935847933).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
165234120100 is an frugal number, since it uses more digits than its factorization.
165234120100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11642 (or 5821 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 25.
Multiplying 165234120100 by its sum of digits (25), we get a square (4130853002500 = 20324502).
165234120100 divided by its sum of digits (25) gives a square (6609364804 = 812982).
Adding to 165234120100 its reverse (1021432561), we get a palindrome (166255552661).
The spelling of 165234120100 in words is "one hundred sixty-five billion, two hundred thirty-four million, one hundred twenty thousand, one hundred".
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