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313122202220 = 225791136132861
BaseRepresentation
bin1001000111001111000…
…10011010001001101100
31002221020000122222010202
410203213202122021230
520112233240432340
6355502451253032
731423313542562
oct4434742321154
91087200588122
10313122202220
11110881358023
1250827baa178
13236b16189c9
1411225bdba32
1582296edc15
hex48e789a26c

313122202220 has 96 divisors (see below), whose sum is σ = 673103934720. Its totient is φ = 122326364160.

The previous prime is 313122202213. The next prime is 313122202279. The reversal of 313122202220 is 22202221313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 313122202192 and 313122202201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109443590 + ... + 109446450.

It is an arithmetic number, because the mean of its divisors is an integer number (7011499320).

Almost surely, 2313122202220 is an apocalyptic number.

It is an amenable number.

313122202220 is an abundant number, since it is smaller than the sum of its proper divisors (359981732500).

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

313122202220 is a wasteful number, since it uses less digits than its factorization.

313122202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3675 (or 3673 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 313122202220 its reverse (22202221313), we get a palindrome (335324423533).

The spelling of 313122202220 in words is "three hundred thirteen billion, one hundred twenty-two million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 79 113 158 226 316 395 452 565 613 790 1130 1226 1580 2260 2452 2861 3065 5722 6130 8927 11444 12260 14305 17854 28610 35708 44635 48427 57220 69269 89270 96854 138538 178540 193708 226019 242135 277076 323293 346345 452038 484270 646586 692690 904076 968540 1130095 1293172 1385380 1616465 1753793 2260190 3232930 3507586 4520380 5472251 6465860 7015172 8768965 10944502 17537930 21889004 25540147 27361255 35075860 51080294 54722510 102160588 109445020 127700735 138549647 198178609 255401470 277099294 396357218 510802940 554198588 692748235 792714436 990893045 1385496470 1981786090 2770992940 3963572180 15656110111 31312220222 62624440444 78280550555 156561101110 313122202220