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313321403220 = 223571367545723
BaseRepresentation
bin1001000111100110110…
…10010011001101010100
31002221201220111102112120
410203303122103031110
520113140234400340
6355534325015540
731431252661530
oct4436332231524
91087656442476
10313321403220
11110973844751
12508828545b0
1323713983417
1411244452bc0
15823be4b4d0
hex48f3693354

313321403220 has 96 divisors (see below), whose sum is σ = 1003363780608. Its totient is φ = 71563800192.

The previous prime is 313321403203. The next prime is 313321403231. The reversal of 313321403220 is 22304123313.

It is a super-3 number, since 3×3133214032203 (a number of 35 digits) contains 333 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, 301279 + ... + 847001.

It is an arithmetic number, because the mean of its divisors is an integer number (10451706048).

Almost surely, 2313321403220 is an apocalyptic number.

313321403220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313321403220 is an abundant number, since it is smaller than the sum of its proper divisors (690042377388).

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

313321403220 is a wasteful number, since it uses less digits than its factorization.

313321403220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547109 (or 547107 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 313321403220 its reverse (22304123313), we get a palindrome (335625526533).

The spelling of 313321403220 in words is "three hundred thirteen billion, three hundred twenty-one million, four hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1367 2734 4101 5468 6835 8202 9569 13670 16404 19138 20505 27340 28707 38276 41010 47845 57414 82020 95690 114828 143535 191380 287070 545723 574140 1091446 1637169 2182892 2728615 3274338 3820061 5457230 6548676 7640122 8185845 10914460 11460183 15280244 16371690 19100305 22920366 32743380 38200610 45840732 57300915 76401220 114601830 229203660 746003341 1492006682 2238010023 2984013364 3730016705 4476020046 5222023387 7460033410 8952040092 10444046774 11190050115 14920066820 15666070161 20888093548 22380100230 26110116935 31332140322 44760200460 52220233870 62664280644 78330350805 104440467740 156660701610 313321403220