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313110223220 = 225731012123357
BaseRepresentation
bin1001000111001101101…
…00101101100101110100
31002221012012010101001002
410203212310231211310
520112222204120340
6355501342422432
731423106661434
oct4434664554564
91087165111032
10313110223220
11110875616023
1250823b91a18
13236abcb3442
14112243a02c4
158228634715
hex48e6d2d974

313110223220 has 48 divisors (see below), whose sum is σ = 673138459728. Its totient is φ = 122305305600.

The previous prime is 313110223207. The next prime is 313110223277. The reversal of 313110223220 is 22322011313.

It can be written as a sum of positive squares in 8 ways, for example, as 87395914384 + 225714308836 = 295628^2 + 475094^2 .

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 = 313110223192 and 313110223201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 914219 + ... + 1209138.

It is an arithmetic number, because the mean of its divisors is an integer number (14023717911).

Almost surely, 2313110223220 is an apocalyptic number.

It is an amenable number.

313110223220 is an abundant number, since it is smaller than the sum of its proper divisors (360028236508).

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

313110223220 is a wasteful number, since it uses less digits than its factorization.

313110223220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123540 (or 2123538 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 313110223220 its reverse (22322011313), we get a palindrome (335432234533).

The spelling of 313110223220 in words is "three hundred thirteen billion, one hundred ten million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 73 101 146 202 292 365 404 505 730 1010 1460 2020 7373 14746 29492 36865 73730 147460 2123357 4246714 8493428 10616785 21233570 42467140 155005061 214459057 310010122 428918114 620020244 775025305 857836228 1072295285 1550050610 2144590570 3100101220 4289181140 15655511161 31311022322 62622044644 78277555805 156555111610 313110223220