Base | Representation |
---|---|
bin | 11110111001011111111… |
… | …010111100010101011111 |
3 | 21111222200001002000112000 |
4 | 132321133322330111133 |
5 | 234242031210144411 |
6 | 4303235143413343 |
7 | 306255632552511 |
oct | 36713772742537 |
9 | 7458601060460 |
10 | 2123323131231 |
11 | 749550609655 |
12 | 2a3620754253 |
13 | 1252c806c483 |
14 | 74aab2b3bb1 |
15 | 3a374aa4956 |
hex | 1ee5febc55f |
2123323131231 has 8 divisors (see below), whose sum is σ = 3145663898160. Its totient is φ = 1415548754136.
The previous prime is 2123323131227. The next prime is 2123323131263. The reversal of 2123323131231 is 1321313233212.
2123323131231 is a `hidden beast` number, since 2 + 1 + 2 + 332 + 313 + 12 + 3 + 1 = 666.
It is not a de Polignac number, because 2123323131231 - 22 = 2123323131227 is a prime.
It is a super-2 number, since 2×21233231312312 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 78641597453 = 2123323131231 / (2 + 1 + 2 + 3 + 3 + 2 + 3 + 1 + 3 + 1 + 2 + 3 + 1).
It is a junction number, because it is equal to n+sod(n) for n = 2123323131195 and 2123323131204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2123323131221) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39320798700 + ... + 39320798753.
It is an arithmetic number, because the mean of its divisors is an integer number (393207987270).
Almost surely, 22123323131231 is an apocalyptic number.
2123323131231 is a deficient number, since it is larger than the sum of its proper divisors (1022340766929).
2123323131231 is an equidigital number, since it uses as much as digits as its factorization.
2123323131231 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 78641597462 (or 78641597456 counting only the distinct ones).
The product of its digits is 3888, while the sum is 27.
Adding to 2123323131231 its reverse (1321313233212), we get a palindrome (3444636364443).
The spelling of 2123323131231 in words is "two trillion, one hundred twenty-three billion, three hundred twenty-three million, one hundred thirty-one thousand, two hundred thirty-one".
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