Base | Representation |
---|---|
bin | 101111000010011001… |
… | …0010100101000010111 |
3 | 100122201200221220012020 |
4 | 1132010302110220113 |
5 | 3123333040011043 |
6 | 114223154224223 |
7 | 10204113051120 |
oct | 1360462245027 |
9 | 318650856166 |
10 | 101012032023 |
11 | 39925727801 |
12 | 176b0885073 |
13 | 96aa3a0366 |
14 | 4c63621047 |
15 | 2962ee5e83 |
hex | 1784c94a17 |
101012032023 has 32 divisors (see below), whose sum is σ = 157215834624. Its totient is φ = 56497364352.
The previous prime is 101012032019. The next prime is 101012032031. The reversal of 101012032023 is 320230210101.
It is not a de Polignac number, because 101012032023 - 22 = 101012032019 is a prime.
It is a super-2 number, since 2×1010120320232 (a number of 23 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 101012031993 and 101012032011.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (101012032013) 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 31 ways as a sum of consecutive naturals, for example, 7740 + ... + 449537.
It is an arithmetic number, because the mean of its divisors is an integer number (4912994832).
Almost surely, 2101012032023 is an apocalyptic number.
101012032023 is a deficient number, since it is larger than the sum of its proper divisors (56203802601).
101012032023 is a wasteful number, since it uses less digits than its factorization.
101012032023 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 457511.
The product of its (nonzero) digits is 72, while the sum is 15.
Adding to 101012032023 its reverse (320230210101), we get a palindrome (421242242124).
The spelling of 101012032023 in words is "one hundred one billion, twelve million, thirty-two thousand, twenty-three".
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