Search a number
-
+
131110023103422 = 231111153917810053
BaseRepresentation
bin11101110011111001101110…
…010110101000001110111110
3122012012222212221022110120020
4131303321232112220032332
5114141101311403302142
61142503040233233010
736421246411334046
oct3563715626501676
9565188787273506
10131110023103422
11388594a3013170
1212856001562766
135820811a7978c
142453a8a8c0726
151025714e6ccec
hex773e6e5a83be

131110023103422 has 32 divisors (see below), whose sum is σ = 286060812935040. Its totient is φ = 39729951599520.

The previous prime is 131110023103399. The next prime is 131110023103429. The reversal of 131110023103422 is 224301320011131.

It is a super-2 number, since 2×1311100231034222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131110023103392 and 131110023103401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131110023103429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1543453 + ... + 16266600.

It is an arithmetic number, because the mean of its divisors is an integer number (8939400404220).

Almost surely, 2131110023103422 is an apocalyptic number.

131110023103422 is an abundant number, since it is smaller than the sum of its proper divisors (154950789831618).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131110023103422 is a wasteful number, since it uses less digits than its factorization.

131110023103422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17921608.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131110023103422 its reverse (224301320011131), we get a palindrome (355411343114553).

The spelling of 131110023103422 in words is "one hundred thirty-one trillion, one hundred ten billion, twenty-three million, one hundred three thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 111539 223078 334617 669234 1226929 2453858 3680787 7361574 17810053 35620106 53430159 106860318 195910583 391821166 587731749 1175463498 1986515501567 3973031003134 5959546504701 11919093009402 21851670517237 43703341034474 65555011551711 131110023103422