Base | Representation |
---|---|
bin | 11101110010010110000… |
… | …00110110010100011001 |
3 | 10121211201201221000000001 |
4 | 32321023000312110121 |
5 | 113232021421331022 |
6 | 2102101003213001 |
7 | 133641211445116 |
oct | 16711300662431 |
9 | 3554651830001 |
10 | 1023460730137 |
11 | 36505799a76a |
12 | 14642ab17161 |
13 | 75686940691 |
14 | 377701c790d |
15 | 1b951233b27 |
hex | ee4b036519 |
1023460730137 has 8 divisors (see below), whose sum is σ = 1084484662632. Its totient is φ = 962527948800.
The previous prime is 1023460730111. The next prime is 1023460730143. The reversal of 1023460730137 is 7310370643201.
It can be written as a sum of positive squares in 4 ways, for example, as 507263026176 + 516197703961 = 712224^2 + 718469^2 .
It is a sphenic number, since it is the product of 3 distinct primes.
It is a cyclic number.
It is not a de Polignac number, because 1023460730137 - 211 = 1023460728089 is a prime.
It is a super-2 number, since 2×10234607301372 (a number of 25 digits) contains 22 as substring.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 1023460730096 and 1023460730105.
It is not an unprimeable number, because it can be changed into a prime (1023460730737) by changing a digit.
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, 22764664 + ... + 22809577.
It is an arithmetic number, because the mean of its divisors is an integer number (135560582829).
Almost surely, 21023460730137 is an apocalyptic number.
1023460730137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.
It is an amenable number.
1023460730137 is a deficient number, since it is larger than the sum of its proper divisors (61023932495).
1023460730137 is a wasteful number, since it uses less digits than its factorization.
1023460730137 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 45575579.
The product of its (nonzero) digits is 63504, while the sum is 37.
The spelling of 1023460730137 in words is "one trillion, twenty-three billion, four hundred sixty million, seven hundred thirty thousand, one hundred thirty-seven".
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