Base | Representation |
---|---|
bin | 10000000000110111100… |
… | …101001101111100110100 |
3 | 10220012102211202222002122 |
4 | 100000313211031330310 |
5 | 121012202144143444 |
6 | 2201312000455112 |
7 | 142335013531322 |
oct | 20006745157464 |
9 | 3805384688078 |
10 | 1100444131124 |
11 | 394772029308 |
12 | 15933461a498 |
13 | 7ca04acb860 |
14 | 3b394478d12 |
15 | 1d9599804ee |
hex | 1003794df34 |
1100444131124 has 24 divisors (see below), whose sum is σ = 2080068019848. Its totient is φ = 506390169600.
The previous prime is 1100444131091. The next prime is 1100444131139. The reversal of 1100444131124 is 4211314440011.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 1170724 + 1100442960400 = 1082^2 + 1049020^2 .
It is a super-3 number, since 3×11004441311243 (a number of 37 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (26).
It is a junction number, because it is equal to n+sod(n) for n = 1100444131093 and 1100444131102.
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 7 ways as a sum of consecutive naturals, for example, 31380677 + ... + 31415724.
It is an arithmetic number, because the mean of its divisors is an integer number (86669500827).
Almost surely, 21100444131124 is an apocalyptic number.
It is an amenable number.
1100444131124 is a deficient number, since it is larger than the sum of its proper divisors (979623888724).
1100444131124 is a wasteful number, since it uses less digits than its factorization.
1100444131124 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 62796755 (or 62796753 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 26.
Adding to 1100444131124 its reverse (4211314440011), we get a palindrome (5311758571135).
The spelling of 1100444131124 in words is "one trillion, one hundred billion, four hundred forty-four million, one hundred thirty-one thousand, one hundred twenty-four".
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