| Base | Representation |
|---|---|
| bin | 10111000000111111100011… |
| … | …101000100101010000000000 |
| 3 | 111021101212001202011120110021 |
| 4 | 113000333203220211100000 |
| 5 | 101231420321203044300 |
| 6 | 555141203112543224 |
| 7 | 30215100031660024 |
| oct | 2700774350452000 |
| 9 | 437355052146407 |
| 10 | 101223313331200 |
| 11 | 2a286625542035 |
| 12 | b42990a9b1b14 |
| 13 | 44634186a7788 |
| 14 | 1add33d6ac384 |
| 15 | ba80b605dd1a |
| hex | 5c0fe3a25400 |
101223313331200 has 264 divisors, whose sum is σ = 255109282623864. Its totient is φ = 39812333568000.
The previous prime is 101223313331177. The next prime is 101223313331251. The reversal of 101223313331200 is 2133313322101.
It can be written as a sum of positive squares in 12 ways, for example, as 101043347329024 + 179966002176 = 10052032^2 + 424224^2 .
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5648298240 + ... + 5648316160.
Almost surely, 2101223313331200 is an apocalyptic number.
101223313331200 is a gapful number since it is divisible by the number (10) 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 101223313331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127554641311932).
101223313331200 is an abundant number, since it is smaller than the sum of its proper divisors (153885969292664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101223313331200 is a wasteful number, since it uses less digits than its factorization.
101223313331200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21629 (or 21606 counting only the distinct ones).
The product of its (nonzero) digits is 1944, while the sum is 25.
Adding to 101223313331200 its reverse (2133313322101), we get a palindrome (103356626653301).
Subtracting from 101223313331200 its reverse (2133313322101), we obtain a palindrome (99090000009099).
The spelling of 101223313331200 in words is "one hundred one trillion, two hundred twenty-three billion, three hundred thirteen million, three hundred thirty-one thousand, two hundred".
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