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1020314220 = 2235371972333
BaseRepresentation
bin111100110100001…
…100001001101100
32122002220022222120
4330310030021230
54042200023340
6245124512540
734166346012
oct7464141154
92562808876
101020314220
11483a391a2
1224584b750
13133500633
14997188b2
155e8954d0
hex3cd0c26c

1020314220 has 96 divisors (see below), whose sum is σ = 2950250688. Its totient is φ = 263273472.

The previous prime is 1020314173. The next prime is 1020314227. The reversal of 1020314220 is 224130201.

It is a super-2 number, since 2×10203142202 = 2082082215068416800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1020314220.

It is not an unprimeable number, because it can be changed into a prime (1020314227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436174 + ... + 438506.

It is an arithmetic number, because the mean of its divisors is an integer number (30731778).

Almost surely, 21020314220 is an apocalyptic number.

1020314220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020314220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475125344).

1020314220 is an abundant number, since it is smaller than the sum of its proper divisors (1929936468).

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

1020314220 is a wasteful number, since it uses less digits than its factorization.

1020314220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1020314220 is about 31942.3577714608. The cubic root of 1020314220 is about 1006.7260652835.

Adding to 1020314220 its reverse (224130201), we get a palindrome (1244444421).

The spelling of 1020314220 in words is "one billion, twenty million, three hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 197 222 370 394 444 555 591 740 788 985 1110 1182 1970 2220 2333 2364 2955 3940 4666 5910 6999 7289 9332 11665 11820 13998 14578 21867 23330 27996 29156 34995 36445 43734 46660 69990 72890 86321 87468 109335 139980 145780 172642 218670 258963 345284 431605 437340 459601 517926 863210 919202 1035852 1294815 1378803 1726420 1838404 2298005 2589630 2757606 4596010 5179260 5515212 6894015 9192020 13788030 17005237 27576060 34010474 51015711 68020948 85026185 102031422 170052370 204062844 255078555 340104740 510157110 1020314220