Search a number
-
+
1381881831 = 31123806837
BaseRepresentation
bin101001001011101…
…1101011111100111
310120022020212111120
41102113131133213
510312230204311
6345042305023
746146542001
oct12227353747
93508225446
101381881831
1164a044300
12326958173
131903a6a75
14d1757371
15814b6706
hex525dd7e7

1381881831 has 12 divisors (see below), whose sum is σ = 2025237816. Its totient is φ = 837503920.

The previous prime is 1381881763. The next prime is 1381881847.

1381881831 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1381881831 - 214 = 1381865447 is a prime.

It is a super-3 number, since 3×13818818313 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381881881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1903056 + ... + 1903781.

It is an arithmetic number, because the mean of its divisors is an integer number (168769818).

Almost surely, 21381881831 is an apocalyptic number.

1381881831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1381881831 is a deficient number, since it is larger than the sum of its proper divisors (643355985).

1381881831 is a wasteful number, since it uses less digits than its factorization.

1381881831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3806862 (or 3806851 counting only the distinct ones).

The product of its digits is 36864, while the sum is 42.

The square root of 1381881831 is about 37173.6712069174. The cubic root of 1381881831 is about 1113.8421170570.

The spelling of 1381881831 in words is "one billion, three hundred eighty-one million, eight hundred eighty-one thousand, eight hundred thirty-one".

Divisors: 1 3 11 33 121 363 3806837 11420511 41875207 125625621 460627277 1381881831