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1029802081 = 72112172601
BaseRepresentation
bin111101011000011…
…000100001100001
32122202202100212211
4331120120201201
54102112131311
6250104122121
734343113300
oct7530304141
92582670784
101029802081
11489329600
12248a66341
13135473059
149aaa8437
156061b821
hex3d618861

1029802081 has 54 divisors (see below), whose sum is σ = 1401074934. Its totient is φ = 753984000.

The previous prime is 1029802073. The next prime is 1029802087. The reversal of 1029802081 is 1802089201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 607129600 + 422672481 = 24640^2 + 20559^2 .

It is not a de Polignac number, because 1029802081 - 23 = 1029802073 is a prime.

It is a super-2 number, since 2×10298020812 = 2120984652063861122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1029802087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1713181 + ... + 1713781.

Almost surely, 21029802081 is an apocalyptic number.

1029802081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1029802081 is a deficient number, since it is larger than the sum of its proper divisors (371272853).

1029802081 is a wasteful number, since it uses less digits than its factorization.

1029802081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 1029802081 is about 32090.5294596396. The cubic root of 1029802081 is about 1009.8369442359.

The spelling of 1029802081 in words is "one billion, twenty-nine million, eight hundred two thousand, eighty-one".

Divisors: 1 7 11 17 49 77 119 121 187 289 539 601 833 847 1309 2023 2057 3179 4207 5929 6611 9163 10217 14161 14399 22253 29449 34969 46277 71519 72721 100793 112387 155771 173689 244783 323939 500633 509047 786709 1215823 1236257 1713481 1910579 3563329 5506963 8510761 8653799 13374053 21016369 60576593 93618371 147114583 1029802081