Search a number
-
+
313322132131040 = 2556912833955609
BaseRepresentation
bin100011100111101101111111…
…0011000101100110011100000
31112002101022012002212220001202
41013033123332120230303200
5312031432211311143130
63030214111142220332
7122665530343260404
oct10717337630546340
91462338162786052
10313322132131040
119091a19632a0aa
122b183b181246a8
13105aa1c5224556
145752c2d0d7104
1526353636d3145
hex11cf6fe62cce0

313322132131040 has 48 divisors (see below), whose sum is σ = 741294772641360. Its totient is φ = 125147479649280.

The previous prime is 313322132130979. The next prime is 313322132131049. The reversal of 313322132131040 is 40131231223313.

It is a junction number, because it is equal to n+sod(n) for n = 313322132130994 and 313322132131012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313322132131049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1416867245 + ... + 1417088364.

It is an arithmetic number, because the mean of its divisors is an integer number (15443641096695).

Almost surely, 2313322132131040 is an apocalyptic number.

It is an amenable number.

313322132131040 is an abundant number, since it is smaller than the sum of its proper divisors (427972640510320).

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

313322132131040 is a wasteful number, since it uses less digits than its factorization.

313322132131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833956315 (or 2833956307 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 313322132131040 its reverse (40131231223313), we get a palindrome (353453363354353).

The spelling of 313322132131040 in words is "three hundred thirteen trillion, three hundred twenty-two billion, one hundred thirty-two million, one hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 691 1382 2764 3455 5528 6910 11056 13820 22112 27640 55280 110560 2833955609 5667911218 11335822436 14169778045 22671644872 28339556090 45343289744 56679112180 90686579488 113358224360 226716448720 453432897440 1958263325819 3916526651638 7833053303276 9791316629095 15666106606552 19582633258190 31332213213104 39165266516380 62664426426208 78330533032760 156661066065520 313322132131040