Base | Representation |
---|---|
bin | 1001000111010110111110… |
… | …1101111101110000110001 |
3 | 1022111002121201020201222021 |
4 | 2101311233231331300301 |
5 | 2303200110423201001 |
6 | 33152020341111441 |
7 | 2053032215056120 |
oct | 221655755756061 |
9 | 38432551221867 |
10 | 10022033022001 |
11 | 3214358404610 |
12 | 115a4066b8581 |
13 | 5790c5a9cb50 |
14 | 2690d7427ab7 |
15 | 125a693e5ba1 |
hex | 91d6fb7dc31 |
10022033022001 has 32 divisors (see below), whose sum is σ = 13491290308608. Its totient is φ = 7189833291840.
The previous prime is 10022033021993. The next prime is 10022033022007.
10022033022001 is nontrivially palindromic in base 10.
It is a cyclic number.
It is not a de Polignac number, because 10022033022001 - 23 = 10022033021993 is a prime.
It is a super-2 number, since 2×100220330220012 (a number of 27 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (10022033022007) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12687141 + ... + 13453906.
It is an arithmetic number, because the mean of its divisors is an integer number (421602822144).
Almost surely, 210022033022001 is an apocalyptic number.
10022033022001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
It is an amenable number.
10022033022001 is a deficient number, since it is larger than the sum of its proper divisors (3469257286607).
10022033022001 is a wasteful number, since it uses less digits than its factorization.
10022033022001 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 26141461.
The product of its (nonzero) digits is 144, while the sum is 16.
It can be divided in two parts, 1002203 and 3022001, that added together give a palindrome (4024204).
The spelling of 10022033022001 in words is "ten trillion, twenty-two billion, thirty-three million, twenty-two thousand, one".
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