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1300312020 = 223572442283
BaseRepresentation
bin100110110000001…
…0010111111010100
310100121202200202110
41031200102333110
510130334441040
6333010111020
744136320100
oct11540227724
93317680673
101300312020
11607aa0737
1230357b470
13179516cc7
14c49a2900
1579252980
hex4d812fd4

1300312020 has 72 divisors (see below), whose sum is σ = 4235311584. Its totient is φ = 297213504.

The previous prime is 1300312003. The next prime is 1300312103. The reversal of 1300312020 is 202130031.

It is a happy number.

It is a super-2 number, since 2×13003120202 = 3381622698712960800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1300311987 and 1300312005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218202 + ... + 224081.

It is an arithmetic number, because the mean of its divisors is an integer number (58823772).

Almost surely, 21300312020 is an apocalyptic number.

1300312020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300312020 is an abundant number, since it is smaller than the sum of its proper divisors (2934999564).

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

1300312020 is a wasteful number, since it uses less digits than its factorization.

1300312020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442309 (or 442300 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1300312020 is about 36059.8394339187. The cubic root of 1300312020 is about 1091.4801931038.

Adding to 1300312020 its reverse (202130031), we get a palindrome (1502442051).

The spelling of 1300312020 in words is "one billion, three hundred million, three hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 442283 884566 1326849 1769132 2211415 2653698 3095981 4422830 5307396 6191962 6634245 8845660 9287943 12383924 13268490 15479905 18575886 21671867 26536980 30959810 37151772 43343734 46439715 61919620 65015601 86687468 92879430 108359335 130031202 185758860 216718670 260062404 325078005 433437340 650156010 1300312020