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1021813331 = 71119698437
BaseRepresentation
bin111100111001111…
…010001001010011
32122012201111101012
4330321322021103
54043041011311
6245221001135
734215161420
oct7471721123
92565644335
101021813331
11484872530
122462531ab
13133906a96
14999c8d47
155ea8e78b
hex3ce7a253

1021813331 has 16 divisors (see below), whose sum is σ = 1341000960. Its totient is φ = 754310880.

The previous prime is 1021813313. The next prime is 1021813333. The reversal of 1021813331 is 1333181201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1021813331 is a prime.

It is a super-2 number, since 2×10218133312 = 2088204966818631122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1021813297 and 1021813306.

It is not an unprimeable number, because it can be changed into a prime (1021813333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347756 + ... + 350681.

It is an arithmetic number, because the mean of its divisors is an integer number (83812560).

Almost surely, 21021813331 is an apocalyptic number.

1021813331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1021813331 is a deficient number, since it is larger than the sum of its proper divisors (319187629).

1021813331 is a wasteful number, since it uses less digits than its factorization.

1021813331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698474.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 1021813331 is about 31965.8150373176. The cubic root of 1021813331 is about 1007.2188728117.

Adding to 1021813331 its reverse (1333181201), we get a palindrome (2354994532).

The spelling of 1021813331 in words is "one billion, twenty-one million, eight hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 7 11 19 77 133 209 1463 698437 4889059 7682807 13270303 53779649 92892121 145973333 1021813331