Base | Representation |
---|---|
bin | 10000010100010100100… |
… | …010011011001110101000 |
3 | 10222012100111011112000000 |
4 | 100110110202123032220 |
5 | 121332441221024000 |
6 | 2215044331343000 |
7 | 144004425342063 |
oct | 20242442331650 |
9 | 3865314145000 |
10 | 1121331033000 |
11 | 3a2610153892 |
12 | 1613a35b1a60 |
13 | 819831650a9 |
14 | 3c3b646b8da |
15 | 1e27d4dc000 |
hex | 1051489b3a8 |
1121331033000 has 448 divisors, whose sum is σ = 4165534311120. Its totient is φ = 281428992000.
The previous prime is 1121331032993. The next prime is 1121331033007. The reversal of 1121331033000 is 3301331211.
It is a happy number.
1121331033000 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 331 + 0 + 330 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (1121331032993) and next prime (1121331033007).
It can be written as a sum of positive squares in 8 ways, for example, as 6942555684 + 1114388477316 = 83322^2 + 1055646^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (1121331033007) by changing a digit.
It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 12347760 + ... + 12438240.
Almost surely, 21121331033000 is an apocalyptic number.
1121331033000 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 1121331033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082767155560).
1121331033000 is an abundant number, since it is smaller than the sum of its proper divisors (3044203278120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1121331033000 is an equidigital number, since it uses as much as digits as its factorization.
1121331033000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 90537 (or 90508 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 18.
Adding to 1121331033000 its reverse (3301331211), we get a palindrome (1124632364211).
The spelling of 1121331033000 in words is "one trillion, one hundred twenty-one billion, three hundred thirty-one million, thirty-three thousand".
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