Search a number
-
+
1022300023205 = 51372404962057
BaseRepresentation
bin11101110000001011101…
…01000110100110100101
310121201201211211222102102
432320011311012212211
5113222132301220310
62101345501221445
7133600355551646
oct16700565064645
93551654758372
101022300023205
1136461179143a
12146166261885
1375530326046
143769dda56cd
151b8d43aa8a5
hexee05d469a5

1022300023205 has 16 divisors (see below), whose sum is σ = 1235785777200. Its totient is φ = 811823542272.

The previous prime is 1022300023141. The next prime is 1022300023207. The reversal of 1022300023205 is 5023200032201.

1022300023205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8585319649 + 1013714703556 = 92657^2 + 1006834^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022300023205 - 26 = 1022300023141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022300023207) 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, 16442537 + ... + 16504593.

It is an arithmetic number, because the mean of its divisors is an integer number (77236611075).

Almost surely, 21022300023205 is an apocalyptic number.

It is an amenable number.

1022300023205 is a deficient number, since it is larger than the sum of its proper divisors (213485753995).

1022300023205 is a wasteful number, since it uses less digits than its factorization.

1022300023205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86248.

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 1022300023205 its reverse (5023200032201), we get a palindrome (6045500055406).

The spelling of 1022300023205 in words is "one trillion, twenty-two billion, three hundred million, twenty-three thousand, two hundred five".

Divisors: 1 5 137 685 24049 62057 120245 310285 3294713 8501809 16473565 42509045 1492408793 7462043965 204460004641 1022300023205