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1284532103029 = 71926372750513
BaseRepresentation
bin10010101100010100000…
…101000110011101110101
311112210121020202212120011
4102230110011012131311
5132021210204244104
62422034512540221
7161542621503010
oct22542405063565
94483536685504
101284532103029
1145584898026a
12188b4b251671
1394191656596
1446259168377
1523630ed9904
hex12b14146775

1284532103029 has 32 divisors (see below), whose sum is σ = 1553341870080. Its totient is φ = 1037662762752.

The previous prime is 1284532103011. The next prime is 1284532103039. The reversal of 1284532103029 is 9203012354821.

It is not a de Polignac number, because 1284532103029 - 219 = 1284531578741 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1284532102982 and 1284532103000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1284532103039) 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 31 ways as a sum of consecutive naturals, for example, 25404477 + ... + 25454989.

It is an arithmetic number, because the mean of its divisors is an integer number (48541933440).

Almost surely, 21284532103029 is an apocalyptic number.

1284532103029 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1284532103029 is a deficient number, since it is larger than the sum of its proper divisors (268809767051).

1284532103029 is a wasteful number, since it uses less digits than its factorization.

1284532103029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51529.

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 1284532103029 in words is "one trillion, two hundred eighty-four billion, five hundred thirty-two million, one hundred three thousand, twenty-nine".

Divisors: 1 7 19 133 263 727 1841 4997 5089 13813 34979 50513 96691 191201 353591 959747 1338407 3632819 6718229 13284919 25429733 36722951 92994433 252413461 257060657 697736069 1766894227 4884152483 9658136113 67606952791 183504586147 1284532103029