Base | Representation |
---|---|
bin | 100001011010001… |
… | …0111011111011010 |
3 | 2220010101220210000 |
4 | 1002310113133122 |
5 | 4243440231322 |
6 | 303123233430 |
7 | 36531355302 |
oct | 10264273732 |
9 | 2803356700 |
10 | 1121023962 |
11 | 525874993 |
12 | 273518876 |
13 | 14b3321b6 |
14 | a8c52602 |
15 | 6863a3ac |
hex | 42d177da |
1121023962 has 80 divisors (see below), whose sum is σ = 2703690792. Its totient is φ = 345876480.
The previous prime is 1121023961. The next prime is 1121023963. The reversal of 1121023962 is 2693201211.
It is an interprime number because it is at equal distance from previous prime (1121023961) and next prime (1121023963).
It can be written as a sum of positive squares in 4 ways, for example, as 494573121 + 626450841 = 22239^2 + 25029^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (1121023961) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 164658 + ... + 171330.
Almost surely, 21121023962 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1121023962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351845396).
1121023962 is an abundant number, since it is smaller than the sum of its proper divisors (1582666830).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1121023962 is a wasteful number, since it uses less digits than its factorization.
1121023962 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6765 (or 6756 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 27.
The square root of 1121023962 is about 33481.6959247885. The cubic root of 1121023962 is about 1038.8152071044.
The spelling of 1121023962 in words is "one billion, one hundred twenty-one million, twenty-three thousand, nine hundred sixty-two".
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