Base | Representation |
---|---|
bin | 11101001000101110000… |
… | …10111011010001111000 |
3 | 10112201001100122122210100 |
4 | 32210113002323101320 |
5 | 112400240142214112 |
6 | 2043523323515400 |
7 | 132220352535414 |
oct | 16442702732170 |
9 | 3481040578710 |
10 | 1001114023032 |
11 | 35662a848992 |
12 | 142033088b60 |
13 | 73535019276 |
14 | 36650395d44 |
15 | 1b09446c2dc |
hex | e9170bb478 |
1001114023032 has 96 divisors (see below), whose sum is σ = 2805889086000. Its totient is φ = 322077719040.
The previous prime is 1001114023001. The next prime is 1001114023067. The reversal of 1001114023032 is 2303204111001.
1001114023032 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×10011140230322 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 1001114022996 and 1001114023014.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5610307 + ... + 5785997.
Almost surely, 21001114023032 is an apocalyptic number.
1001114023032 is a gapful number since it is divisible by the number (12) 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 1001114023032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402944543000).
1001114023032 is an abundant number, since it is smaller than the sum of its proper divisors (1804775062968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1001114023032 is a wasteful number, since it uses less digits than its factorization.
1001114023032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 178461 (or 178454 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 1001114023032 its reverse (2303204111001), we get a palindrome (3304318134033).
The spelling of 1001114023032 in words is "one trillion, one billion, one hundred fourteen million, twenty-three thousand, thirty-two".
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