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101022096 = 2437300661
BaseRepresentation
bin1100000010101…
…11100110010000
321001002110021010
412001113212100
5201330201341
614005130520
72334450030
oct601274620
9231073233
10101022096
115202a43a
12299b9a40
1317c10ab6
14d5b98c0
158d07716
hex6057990

101022096 has 40 divisors (see below), whose sum is σ = 298256704. Its totient is φ = 28863360.

The previous prime is 101022083. The next prime is 101022169. The reversal of 101022096 is 690220101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149995 + ... + 150666.

Almost surely, 2101022096 is an apocalyptic number.

101022096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101022096 is an abundant number, since it is smaller than the sum of its proper divisors (197234608).

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

101022096 is a wasteful number, since it uses less digits than its factorization.

101022096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300679 (or 300673 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 101022096 is about 10050.9748780902. The cubic root of 101022096 is about 465.7349091233.

Adding to 101022096 its reverse (690220101), we get a palindrome (791242197).

The spelling of 101022096 in words is "one hundred one million, twenty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 300661 601322 901983 1202644 1803966 2104627 2405288 3607932 4209254 4810576 6313881 7215864 8418508 12627762 14431728 16837016 25255524 33674032 50511048 101022096