Search a number
-
+
1331102144141 = 711237477100523
BaseRepresentation
bin10011010111101011110…
…111101101011010001101
311201020210210112002010122
4103113223313231122031
5133302044122103031
62455255550314325
7165111644353430
oct23275367553215
94636723462118
101331102144141
11473576505450
12195b874b89a5
13986a3911123
14485d612d817
15249596aa47b
hex135ebded68d

1331102144141 has 32 divisors (see below), whose sum is σ = 1731959359488. Its totient is φ = 991983263040.

The previous prime is 1331102144111. The next prime is 1331102144143. The reversal of 1331102144141 is 1414412011331.

It is not a de Polignac number, because 1331102144141 - 210 = 1331102143117 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1331102144141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331102144143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13191506 + ... + 13292028.

It is an arithmetic number, because the mean of its divisors is an integer number (54123729984).

Almost surely, 21331102144141 is an apocalyptic number.

1331102144141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1331102144141 is a deficient number, since it is larger than the sum of its proper divisors (400857215347).

1331102144141 is a wasteful number, since it uses less digits than its factorization.

1331102144141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108041.

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 1331102144141 its reverse (1414412011331), we get a palindrome (2745514155472).

The spelling of 1331102144141 in words is "one trillion, three hundred thirty-one billion, one hundred two million, one hundred forty-four thousand, one hundred forty-one".

Divisors: 1 7 11 23 77 161 253 1771 7477 52339 82247 100523 171971 575729 703661 1105753 1203797 1891681 2312029 7740271 13241767 16184203 25432319 178026233 751610471 5261273297 8267715181 17287040833 57874006267 121009285831 190157449163 1331102144141