Search a number
-
+
1022010071129 is a prime number
BaseRepresentation
bin11101101111101001000…
…11000001100001011001
310121200222122020212221122
432313310203001201121
5113221034034234004
62101301022415025
7133560235161425
oct16676443014131
93550878225848
101022010071129
11364483050123
121460a5131475
13754b5235878
1437673689b85
151b8b8bd3cbe
hexedf48c1859

1022010071129 has 2 divisors, whose sum is σ = 1022010071130. Its totient is φ = 1022010071128.

The previous prime is 1022010071123. The next prime is 1022010071149. The reversal of 1022010071129 is 9211700102201.

1022010071129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 894452520025 + 127557551104 = 945755^2 + 357152^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022010071129 - 216 = 1022010005593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1022010071098 and 1022010071107.

It is not a weakly prime, because it can be changed into another prime (1022010071123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511005035564 + 511005035565.

It is an arithmetic number, because the mean of its divisors is an integer number (511005035565).

Almost surely, 21022010071129 is an apocalyptic number.

It is an amenable number.

1022010071129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022010071129 is an equidigital number, since it uses as much as digits as its factorization.

1022010071129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 26.

The spelling of 1022010071129 in words is "one trillion, twenty-two billion, ten million, seventy-one thousand, one hundred twenty-nine".