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101024220 = 223511153067
BaseRepresentation
bin1100000010110…
…00000111011100
321001002120011210
412001120013130
5201330233340
614005144420
72334456153
oct601300734
9231076153
10101024220
1152030aa0
12299bb110
1317c11a5b
14d5ba59a
158d08180
hex60581dc

101024220 has 48 divisors (see below), whose sum is σ = 308585088. Its totient is φ = 24490560.

The previous prime is 101024219. The next prime is 101024233. The reversal of 101024220 is 22420101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101024196 and 101024205.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 75874 + ... + 77193.

It is an arithmetic number, because the mean of its divisors is an integer number (6428856).

Almost surely, 2101024220 is an apocalyptic number.

101024220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101024220 is an abundant number, since it is smaller than the sum of its proper divisors (207560868).

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

101024220 is a wasteful number, since it uses less digits than its factorization.

101024220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153090 (or 153088 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 101024220 is about 10051.0805389271. The cubic root of 101024220 is about 465.7381731419.

Adding to 101024220 its reverse (22420101), we get a palindrome (123444321).

The spelling of 101024220 in words is "one hundred one million, twenty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 153067 306134 459201 612268 765335 918402 1530670 1683737 1836804 2296005 3061340 3367474 4592010 5051211 6734948 8418685 9184020 10102422 16837370 20204844 25256055 33674740 50512110 101024220