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101112220220220 = 223251151066777889
BaseRepresentation
bin10110111111011000000101…
…111101111111101100111100
3111021000020022110212210201100
4112333120011331333230330
5101223110311334021340
6555014151314013100
730204055035055056
oct2677300575775474
9437006273783640
10101112220220220
112a2434a7362520
12b410285b77190
134455ac289c751
141ad7c012608d6
15ba5262ee1830
hex5bf605f7fb3c

101112220220220 has 72 divisors (see below), whose sum is σ = 334589528735280. Its totient is φ = 24512053386240.

The previous prime is 101112220220201. The next prime is 101112220220239. The reversal of 101112220220220 is 22022022211101.

It is a happy number.

101112220220220 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 1 + 2 + 220 + 220 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (101112220220201) and next prime (101112220220239).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101112220220193 and 101112220220202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25533386965 + ... + 25533390924.

It is an arithmetic number, because the mean of its divisors is an integer number (4647076787990).

Almost surely, 2101112220220220 is an apocalyptic number.

101112220220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112220220220 is an abundant number, since it is smaller than the sum of its proper divisors (233477308515060).

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

101112220220220 is a wasteful number, since it uses less digits than its factorization.

101112220220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51066777915 (or 51066777910 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101112220220220 its reverse (22022022211101), we get a palindrome (123134242431321).

The spelling of 101112220220220 in words is "one hundred one trillion, one hundred twelve billion, two hundred twenty million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 51066777889 102133555778 153200333667 204267111556 255333889445 306400667334 459601001001 510667778890 561734556779 612801334668 766001668335 919202002002 1021335557780 1123469113558 1532003336670 1685203670337 1838404004004 2246938227116 2298005005005 2808672783895 3064006673340 3370407340674 4596010010010 5055611011011 5617345567790 6740814681348 8426018351685 9192020020020 10111222022022 11234691135580 16852036703370 20222444044044 25278055055055 33704073406740 50556110110110 101112220220220