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1300312022031 = 321137354985537
BaseRepresentation
bin10010111011000000101…
…000101101110000001111
311121022022222110210222200
4102323000220231300033
5132301014334201111
62433204411212543
7162641641551531
oct22730050556017
94538288423880
101300312022031
11461506267a40
12190013a47153
1395807944269
1446d14bab851
1523c5650b256
hex12ec0a2dc0f

1300312022031 has 24 divisors (see below), whose sum is σ = 2104354269264. Its totient is φ = 766768757760.

The previous prime is 1300312022029. The next prime is 1300312022161. The reversal of 1300312022031 is 1302202130031.

1300312022031 is a `hidden beast` number, since 1 + 300 + 312 + 0 + 2 + 20 + 31 = 666.

It is not a de Polignac number, because 1300312022031 - 21 = 1300312022029 is a prime.

It is a super-2 number, since 2×13003120220312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1300312021995 and 1300312022013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300312022021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177489106 + ... + 177496431.

It is an arithmetic number, because the mean of its divisors is an integer number (87681427886).

Almost surely, 21300312022031 is an apocalyptic number.

1300312022031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1300312022031 is a deficient number, since it is larger than the sum of its proper divisors (804042247233).

1300312022031 is a wasteful number, since it uses less digits than its factorization.

1300312022031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354985591 (or 354985588 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1300312022031 its reverse (1302202130031), we get a palindrome (2602514152062).

The spelling of 1300312022031 in words is "one trillion, three hundred billion, three hundred twelve million, twenty-two thousand, thirty-one".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 3663 354985537 1064956611 3194869833 3904840907 11714522721 13134464869 35143568163 39403394607 118210183821 144479113559 433437340677 1300312022031