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101244220 = 225711292267
BaseRepresentation
bin1100000100011…
…01110100111100
321001111201221221
412002031310330
5201404303340
614014003124
72336363440
oct602156474
9231451857
10101244220
1152171310
1229aa64a4
1317c8ac2c
14d636820
158d4d44a
hex608dd3c

101244220 has 96 divisors (see below), whose sum is σ = 274337280. Its totient is φ = 30455040.

The previous prime is 101244181. The next prime is 101244239. The reversal of 101244220 is 22442101.

It is a junction number, because it is equal to n+sod(n) for n = 101244194 and 101244203.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 43527 + ... + 45793.

It is an arithmetic number, because the mean of its divisors is an integer number (2857680).

Almost surely, 2101244220 is an apocalyptic number.

101244220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101244220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137168640).

101244220 is an abundant number, since it is smaller than the sum of its proper divisors (173093060).

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

101244220 is a wasteful number, since it uses less digits than its factorization.

101244220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 101244220 is about 10062.0186841409. The cubic root of 101244220 is about 466.0760066854.

Adding to 101244220 its reverse (22442101), we get a palindrome (123686321).

The spelling of 101244220 in words is "one hundred one million, two hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 29 35 44 55 58 70 77 110 116 140 145 154 203 220 290 308 319 385 406 580 638 770 812 1015 1276 1540 1595 2030 2233 2267 3190 4060 4466 4534 6380 8932 9068 11165 11335 15869 22330 22670 24937 31738 44660 45340 49874 63476 65743 79345 99748 124685 131486 158690 174559 249370 262972 317380 328715 349118 460201 498740 657430 698236 723173 872795 920402 1314860 1446346 1745590 1840804 2301005 2892692 3491180 3615865 4602010 5062211 7231730 9204020 10124422 14463460 20248844 25311055 50622110 101244220