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1020304012 = 2271323472593
BaseRepresentation
bin111100110100001…
…001101010001100
32122002212210222111
4330310021222030
54042144212022
6245124353404
734166304160
oct7464115214
92562783874
101020304012
11483a31562
12245845864
131334c8ab0
1499714ca0
155e892477
hex3cd09a8c

1020304012 has 96 divisors (see below), whose sum is σ = 2342817792. Its totient is φ = 377726976.

The previous prime is 1020303929. The next prime is 1020304027. The reversal of 1020304012 is 2104030201.

It is a super-2 number, since 2×10203040122 = 2082040553806592288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 1020303983 and 1020304001.

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, 392188 + ... + 394780.

It is an arithmetic number, because the mean of its divisors is an integer number (24404352).

Almost surely, 21020304012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020304012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171408896).

1020304012 is an abundant number, since it is smaller than the sum of its proper divisors (1322513780).

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

1020304012 is a wasteful number, since it uses less digits than its factorization.

1020304012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1020304012 is about 31942.1979832321. The cubic root of 1020304012 is about 1006.7227079211.

Adding to 1020304012 its reverse (2104030201), we get a palindrome (3124334213).

The spelling of 1020304012 in words is "one billion, twenty million, three hundred four thousand, twelve".

Divisors: 1 2 4 7 13 14 23 26 28 46 47 52 91 92 94 161 182 188 299 322 329 364 598 611 644 658 1081 1196 1222 1316 2093 2162 2444 2593 4186 4277 4324 5186 7567 8372 8554 10372 14053 15134 17108 18151 28106 30268 33709 36302 56212 59639 67418 72604 98371 119278 121871 134836 196742 235963 238556 243742 393484 417473 471926 487484 775307 834946 853097 943852 1550614 1584323 1669892 1706194 2803033 3101228 3168646 3412388 5427149 5606066 6337292 10854298 11090261 11212132 19621231 21708596 22180522 36439429 39242462 44361044 72878858 78484924 145757716 255076003 510152006 1020304012