Search a number
-
+
111105492154281 = 322921211572
BaseRepresentation
bin11001010000110011000011…
…011001000111011110101001
3112120101120200210001220011100
4121100303003121013132221
5104030323021442414111
61032145054121152013
732255051446010652
oct3120630331073651
9476346623056140
10111105492154281
1132446635896a69
1210564ba462b609
1349cc283b74261
141d6176a9bc529
15cca197433756
hex650cc36477a9

111105492154281 has 27 divisors (see below), whose sum is σ = 166211900034661. Its totient is φ = 71515588581024.

The previous prime is 111105492154273. The next prime is 111105492154303. The reversal of 111105492154281 is 182451294501111.

The square root of 111105492154281 is 10540659.

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

111105492154281 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 0 + 5 + 4 + 9 + 21 + 542 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14723835237225 + 96381656917056 = 3837165^2 + 9817416^2 .

It is not a de Polignac number, because 111105492154281 - 23 = 111105492154273 is a prime.

It is a super-2 number, since 2×1111054921542812 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111105492154381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 916976755 + ... + 917097911.

Almost surely, 2111105492154281 is an apocalyptic number.

111105492154281 is the 10540659-th square number.

111105492154281 is the 5270330-th centered octagonal number.

It is an amenable number.

111105492154281 is a deficient number, since it is larger than the sum of its proper divisors (55106407880380).

111105492154281 is an frugal number, since it uses more digits than its factorization.

111105492154281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242378 (or 121189 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 45.

The spelling of 111105492154281 in words is "one hundred eleven trillion, one hundred five billion, four hundred ninety-two million, one hundred fifty-four thousand, two hundred eighty-one".

Divisors: 1 3 9 29 87 261 841 2523 7569 121157 363471 1090413 3513553 10540659 31621977 101893037 305679111 917037333 14679018649 44037055947 132111167841 425691540821 1277074622463 3831223867389 12345054683809 37035164051427 111105492154281