Search a number
-
+
313132430310 = 235710913679879
BaseRepresentation
bin1001000111010000010…
…01011011001111100110
31002221020201220121102220
410203220021123033212
520112243400232220
6355503454413210
731423466512230
oct4435011331746
91087221817386
10313132430310
11110887103597
125082b501206
13236b378a32b
1411227301250
15822a56e540
hex48e825b3e6

313132430310 has 64 divisors (see below), whose sum is σ = 866757196800. Its totient is φ = 70916487552.

The previous prime is 313132430297. The next prime is 313132430323. The reversal of 313132430310 is 13034231313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (313132430297) and next prime (313132430323).

It is a super-2 number, since 2×3131324303102 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6817050 + ... + 6862829.

It is an arithmetic number, because the mean of its divisors is an integer number (13543081200).

Almost surely, 2313132430310 is an apocalyptic number.

313132430310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

313132430310 is an abundant number, since it is smaller than the sum of its proper divisors (553624766490).

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

313132430310 is a wasteful number, since it uses less digits than its factorization.

313132430310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13680005.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 313132430310 its reverse (13034231313), we get a palindrome (326166661623).

The spelling of 313132430310 in words is "three hundred thirteen billion, one hundred thirty-two million, four hundred thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 109 210 218 327 545 654 763 1090 1526 1635 2289 3270 3815 4578 7630 11445 22890 13679879 27359758 41039637 68399395 82079274 95759153 136798790 191518306 205198185 287277459 410396370 478795765 574554918 957591530 1436387295 1491106811 2872774590 2982213622 4473320433 7455534055 8946640866 10437747677 14911068110 20875495354 22366602165 31313243031 44733204330 52188738385 62626486062 104377476770 156566215155 313132430310