Base | Representation |
---|---|
bin | 11101001000100100000… |
… | …10111001100101110000 |
3 | 10112200211111210110020012 |
4 | 32210102002321211300 |
5 | 112400102203130112 |
6 | 2043511125434052 |
7 | 132215313466412 |
oct | 16442202714560 |
9 | 3480744713205 |
10 | 1001030130032 |
11 | 356597458929 |
12 | 14200ab6b928 |
13 | 73520824c3a |
14 | 366431989b2 |
15 | 1b08bdea022 |
hex | e9120b9970 |
1001030130032 has 80 divisors (see below), whose sum is σ = 2111888482272. Its totient is φ = 457864642560.
The previous prime is 1001030130031. The next prime is 1001030130047. The reversal of 1001030130032 is 2300310301001.
It is a super-2 number, since 2×10010301300322 (a number of 25 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 1001030129989 and 1001030130016.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1001030130031) 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 15 ways as a sum of consecutive naturals, for example, 1218032 + ... + 1866992.
Almost surely, 21001030130032 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1001030130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055944241136).
1001030130032 is an abundant number, since it is smaller than the sum of its proper divisors (1110858352240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1001030130032 is a wasteful number, since it uses less digits than its factorization.
1001030130032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 649146 (or 649140 counting only the distinct ones).
The product of its (nonzero) digits is 54, while the sum is 14.
Adding to 1001030130032 its reverse (2300310301001), we get a palindrome (3301340431033).
The spelling of 1001030130032 in words is "one trillion, one billion, thirty million, one hundred thirty thousand, thirty-two".
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