Search a number
-
+
313111240002 = 2321123371858249
BaseRepresentation
bin1001000111001101110…
…00100101110101000010
31002221012021001000210200
410203212320211311002
520112222434140002
6355501420310030
731423121425011
oct4434670456502
91087167030720
10313111240002
1111087614aa40
12508243a2316
13236ac27b1a2
1411224586a78
158228785b1c
hex48e6e25d42

313111240002 has 96 divisors (see below), whose sum is σ = 793130832000. Its totient is φ = 88303944960.

The previous prime is 313111239989. The next prime is 313111240003. The reversal of 313111240002 is 200042111313.

313111240002 is a `hidden beast` number, since 313 + 111 + 240 + 0 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (313111240003) 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, 760627 + ... + 1097622.

It is an arithmetic number, because the mean of its divisors is an integer number (8261779500).

Almost surely, 2313111240002 is an apocalyptic number.

313111240002 is an abundant number, since it is smaller than the sum of its proper divisors (480019591998).

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

313111240002 is a wasteful number, since it uses less digits than its factorization.

313111240002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858328 (or 1858325 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 313111240002 its reverse (200042111313), we get a palindrome (513153351315).

The spelling of 313111240002 in words is "three hundred thirteen billion, one hundred eleven million, two hundred forty thousand, two".

Divisors: 1 2 3 6 9 11 18 22 23 33 37 46 66 69 74 99 111 138 198 207 222 253 333 407 414 506 666 759 814 851 1221 1518 1702 2277 2442 2553 3663 4554 5106 7326 7659 9361 15318 18722 28083 56166 84249 168498 1858249 3716498 5574747 11149494 16724241 20440739 33448482 40881478 42739727 61322217 68755213 85479454 122644434 128219181 137510426 183966651 206265639 256438362 367933302 384657543 412531278 470136997 618796917 756307343 769315086 940273994 1237593834 1410410991 1512614686 1581369899 2268922029 2820821982 3162739798 4231232973 4537844058 4744109697 6806766087 8462465946 9488219394 13613532174 14232329091 17395068889 28464658182 34790137778 52185206667 104370413334 156555620001 313111240002