Base | Representation |
---|---|
bin | 101110100100111000… |
… | …1101100000010100111 |
3 | 100120011201001120022202 |
4 | 1131021301230002213 |
5 | 3114321113310043 |
6 | 113541030445115 |
7 | 10140432025445 |
oct | 1351161540247 |
9 | 316151046282 |
10 | 100022010023 |
11 | 394678a9601 |
12 | 1747520379b |
13 | 9580247a20 |
14 | 4babd4db95 |
15 | 29061361b8 |
hex | 1749c6c0a7 |
100022010023 has 16 divisors (see below), whose sum is σ = 113435925120. Its totient is φ = 87429567456.
The previous prime is 100022010019. The next prime is 100022010037. The reversal of 100022010023 is 320010220001.
It is a happy number.
It is a cyclic number.
It is not a de Polignac number, because 100022010023 - 22 = 100022010019 is a prime.
It is a super-2 number, since 2×1000220100232 (a number of 23 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 = 100022009986 and 100022010013.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100022010013) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 470636 + ... + 649262.
It is an arithmetic number, because the mean of its divisors is an integer number (7089745320).
Almost surely, 2100022010023 is an apocalyptic number.
100022010023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.
100022010023 is a deficient number, since it is larger than the sum of its proper divisors (13413915097).
100022010023 is a wasteful number, since it uses less digits than its factorization.
100022010023 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 180926.
The product of its (nonzero) digits is 24, while the sum is 11.
Adding to 100022010023 its reverse (320010220001), we get a palindrome (420032230024).
The spelling of 100022010023 in words is "one hundred billion, twenty-two million, ten thousand, twenty-three".
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