Search a number
-
+
313148381 = 71321723677
BaseRepresentation
bin10010101010100…
…100001111011101
3210211020120211012
4102222210033131
51120131222011
651023505005
710521501020
oct2252441735
9724216735
10313148381
11150845017
1288a58165
134cb52700
142d8371b7
151c759a8b
hex12aa43dd

313148381 has 48 divisors (see below), whose sum is σ = 428799744. Its totient is φ = 222723072.

The previous prime is 313148377. The next prime is 313148399. The reversal of 313148381 is 183841313.

It is not a de Polignac number, because 313148381 - 22 = 313148377 is a prime.

It is a super-2 number, since 2×3131483812 = 196123817045842322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313148321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 462215 + ... + 462891.

It is an arithmetic number, because the mean of its divisors is an integer number (8933328).

Almost surely, 2313148381 is an apocalyptic number.

It is an amenable number.

313148381 is a deficient number, since it is larger than the sum of its proper divisors (115651363).

313148381 is a wasteful number, since it uses less digits than its factorization.

313148381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 737 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 313148381 is about 17695.9990110759. Note that the first 3 decimals coincide. The cubic root of 313148381 is about 679.0734070817.

Adding to 313148381 its reverse (183841313), we get a palindrome (496989694).

The spelling of 313148381 in words is "three hundred thirteen million, one hundred forty-eight thousand, three hundred eighty-one".

Divisors: 1 7 13 17 23 91 119 161 169 221 299 391 677 1183 1547 2093 2737 2873 3887 4739 5083 8801 11509 15571 20111 27209 35581 61607 66079 80563 108997 114413 149617 202423 264707 462553 800891 1047319 1416961 1852949 1945021 2631499 3441191 13615147 18420493 24088337 44735483 313148381