Base | Representation |
---|---|
bin | 11101101111101001010… |
… | …10111000111010101000 |
3 | 10121200222210010122100102 |
4 | 32313310222320322220 |
5 | 113221040101224112 |
6 | 2101301134524532 |
7 | 133560261540002 |
oct | 16676452707250 |
9 | 3550883118312 |
10 | 1022012133032 |
11 | 364484229280 |
12 | 1460a5966748 |
13 | 754b57a8227 |
14 | 37673a65372 |
15 | 1b8b8e8ebc2 |
hex | edf4ab8ea8 |
1022012133032 has 96 divisors (see below), whose sum is σ = 2152656298080. Its totient is φ = 451112215680.
The previous prime is 1022012132969. The next prime is 1022012133041. The reversal of 1022012133032 is 2303312102201.
It is a junction number, because it is equal to n+sod(n) for n = 1022012132995 and 1022012133013.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28131023 + ... + 28167329.
It is an arithmetic number, because the mean of its divisors is an integer number (22423503105).
Almost surely, 21022012133032 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 1022012133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076328149040).
1022012133032 is an abundant number, since it is smaller than the sum of its proper divisors (1130644165048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1022012133032 is a wasteful number, since it uses less digits than its factorization.
1022012133032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 36583 (or 36536 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 20.
Adding to 1022012133032 its reverse (2303312102201), we get a palindrome (3325324235233).
The spelling of 1022012133032 in words is "one trillion, twenty-two billion, twelve million, one hundred thirty-three thousand, thirty-two".
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