Search a number
-
+
1311102141 = 337411032797
BaseRepresentation
bin100111000100101…
…1101010010111101
310101101001220000120
41032021131102331
510141120232031
6334033245153
744330120136
oct11611352275
93341056016
101311102141
116130a0498
123071037b9
1317b8243ab
14c61b0c8d
157a184a96
hex4e25d4bd

1311102141 has 32 divisors (see below), whose sum is σ = 1857692928. Its totient is φ = 821352960.

The previous prime is 1311102061. The next prime is 1311102179. The reversal of 1311102141 is 1412011131.

It is not a de Polignac number, because 1311102141 - 215 = 1311069373 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1311102141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311142141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 467355 + ... + 470151.

It is an arithmetic number, because the mean of its divisors is an integer number (58052904).

Almost surely, 21311102141 is an apocalyptic number.

It is an amenable number.

1311102141 is a deficient number, since it is larger than the sum of its proper divisors (546590787).

1311102141 is a wasteful number, since it uses less digits than its factorization.

1311102141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981.

The product of its (nonzero) digits is 24, while the sum is 15.

The square root of 1311102141 is about 36209.1444389397. The cubic root of 1311102141 is about 1094.4909516452.

Adding to 1311102141 its reverse (1412011131), we get a palindrome (2723113272).

The spelling of 1311102141 in words is "one billion, three hundred eleven million, one hundred two thousand, one hundred forty-one".

Divisors: 1 3 37 41 103 111 123 309 1517 2797 3811 4223 4551 8391 11433 12669 103489 114677 156251 288091 310467 344031 468753 864273 4243049 10659367 11811731 12729147 31978101 35435193 437034047 1311102141