Search a number
-
+
11027310121 = 17326072
BaseRepresentation
bin10100100010100011…
…10110011000101001
31001110111211101200101
422101101312120221
5140040442410441
65022121305401
7540160406122
oct122121663051
931414741611
1011027310121
1147496a1343
122179035261
13106979a199
1476877d049
15448186231
hex291476629

11027310121 has 9 divisors (see below), whose sum is σ = 11109722871. Its totient is φ = 10945506552.

The previous prime is 11027310113. The next prime is 11027310127. The reversal of 11027310121 is 12101372011.

The square root of 11027310121 is 105011.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10031024025 + 996286096 = 100155^2 + 31564^2 .

It is not a de Polignac number, because 11027310121 - 23 = 11027310113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11027310127) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18166600 + ... + 18167206.

Almost surely, 211027310121 is an apocalyptic number.

11027310121 is the 105011-st square number.

11027310121 is the 52506-th centered octagonal number.

It is an amenable number.

11027310121 is a deficient number, since it is larger than the sum of its proper divisors (82412750).

11027310121 is an frugal number, since it uses more digits than its factorization.

11027310121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 19.

Adding to 11027310121 its reverse (12101372011), we get a palindrome (23128682132).

The spelling of 11027310121 in words is "eleven billion, twenty-seven million, three hundred ten thousand, one hundred twenty-one".

Divisors: 1 173 607 29929 105011 368449 18166903 63741677 11027310121