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1020000128 = 2771138393
BaseRepresentation
bin111100110010111…
…111011110000000
32122002022101010112
4330302333132000
54042110001003
6245114050452
734163600210
oct7462773600
92562271115
101020000128
11483844214
12245719a28
13133420694
1499676240
155e8323d8
hex3ccbf780

1020000128 has 32 divisors (see below), whose sum is σ = 2322323760. Its totient is φ = 437142528.

The previous prime is 1020000109. The next prime is 1020000131. The reversal of 1020000128 is 8210000201.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×10200001282 = 2080800522240032768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 568301 + ... + 570092.

Almost surely, 21020000128 is an apocalyptic number.

It is an amenable number.

1020000128 is an abundant number, since it is smaller than the sum of its proper divisors (1302323632).

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

1020000128 is an equidigital number, since it uses as much as digits as its factorization.

1020000128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138414 (or 1138402 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1020000128 is about 31937.4408492603. The cubic root of 1020000128 is about 1006.6227516672.

Adding to 1020000128 its reverse (8210000201), we get a palindrome (9230000329).

The spelling of 1020000128 in words is "one billion, twenty million, one hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 1138393 2276786 4553572 7968751 9107144 15937502 18214288 31875004 36428576 63750008 72857152 127500016 145714304 255000032 510000064 1020000128