| Base | Representation |
|---|---|
| bin | 10000000101101100110… |
| … | …000000110000111000000 |
| 3 | 10220200211100001102211000 |
| 4 | 100011230300012013000 |
| 5 | 121103313033023321 |
| 6 | 2203530412252000 |
| 7 | 142610366435100 |
| oct | 20055460060700 |
| 9 | 3820740042730 |
| 10 | 1105631142336 |
| 11 | 396993a57636 |
| 12 | 15a341771000 |
| 13 | 80350617666 |
| 14 | 3b7272db200 |
| 15 | 1db60027826 |
| hex | 1016cc061c0 |
1105631142336 has 672 divisors, whose sum is σ = 3990368448000. Its totient is φ = 298718171136.
The previous prime is 1105631142311. The next prime is 1105631142337. The reversal of 1105631142336 is 6332411365011.
1105631142336 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 6 + 311 + 4 + 2 + 336 = 666.
It is a tau number, because it is divible by the number of its divisors (672).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 1105631142336.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1105631142337) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 173320395 + ... + 173326773.
Almost surely, 21105631142336 is an apocalyptic number.
1105631142336 is a gapful number since it is divisible by the number (16) 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 1105631142336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995184224000).
1105631142336 is an abundant number, since it is smaller than the sum of its proper divisors (2884737305664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1105631142336 is a wasteful number, since it uses less digits than its factorization.
1105631142336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6526 (or 6503 counting only the distinct ones).
The product of its (nonzero) digits is 38880, while the sum is 36.
The spelling of 1105631142336 in words is "one trillion, one hundred five billion, six hundred thirty-one million, one hundred forty-two thousand, three hundred thirty-six".
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