Base | Representation |
---|---|
bin | 110100110001110101011110… |
… | …111111100011111111001100 |
3 | 1010102212202022000212020120020 |
4 | 310301311132333203333030 |
5 | 220411101102403424400 |
6 | 2141403514112222140 |
7 | 66615224560516320 |
oct | 6461653677437714 |
9 | 1112782260766506 |
10 | 232123101233100 |
11 | 67a63944233670 |
12 | 2204b018b3a950 |
13 | 9c6a1647b6c0c |
14 | 4146b64a01980 |
15 | 1bc80c41da2a0 |
hex | d31d5efe3fcc |
232123101233100 has 288 divisors, whose sum is σ = 837375785519616. Its totient is φ = 48230811033600.
The previous prime is 232123101233063. The next prime is 232123101233123. The reversal of 232123101233100 is 1332101321232.
It is a super-2 number, since 2×2321231012331002 (a number of 30 digits) contains 22 as substring.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (31) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 451417342 + ... + 451931258.
It is an arithmetic number, because the mean of its divisors is an integer number (2907554810832).
Almost surely, 2232123101233100 is an apocalyptic number.
232123101233100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 232123101233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418687892759808).
232123101233100 is an abundant number, since it is smaller than the sum of its proper divisors (605252684286516).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232123101233100 is a wasteful number, since it uses less digits than its factorization.
232123101233100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 533505 (or 533498 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 24.
Adding to 232123101233100 its reverse (1332101321232), we get a palindrome (233455202554332).
The spelling of 232123101233100 in words is "two hundred thirty-two trillion, one hundred twenty-three billion, one hundred one million, two hundred thirty-three thousand, one hundred".
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