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101028864 = 210332887
BaseRepresentation
bin1100000010110…
…01010000000000
321001002210112210
412001121100000
5201330410424
614005222120
72334505536
oct601312000
9231083483
10101028864
1152034532
1229a01940
1317c13bc1
14d5bc156
158d09729
hex6059400

101028864 has 44 divisors (see below), whose sum is σ = 269286944. Its totient is φ = 33675264.

The previous prime is 101028839. The next prime is 101028899. The reversal of 101028864 is 468820101.

It is a super-2 number, since 2×1010288642 = 20413662722260992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13372 + ... + 19515.

Almost surely, 2101028864 is an apocalyptic number.

It is an amenable number.

101028864 is an abundant number, since it is smaller than the sum of its proper divisors (168258080).

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

101028864 is an equidigital number, since it uses as much as digits as its factorization.

101028864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32910 (or 32892 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 101028864 is about 10051.3115562100. The cubic root of 101028864 is about 465.7453095657.

Adding to 101028864 its reverse (468820101), we get a palindrome (569848965).

The spelling of 101028864 in words is "one hundred one million, twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 32887 65774 98661 131548 197322 263096 394644 526192 789288 1052384 1578576 2104768 3157152 4209536 6314304 8419072 12628608 16838144 25257216 33676288 50514432 101028864