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101200221022110 = 23574128141828471
BaseRepresentation
bin10111000000101010000011…
…001110011010011110011110
3111021022122110101220201121020
4113000222003032122132132
5101231031023040201420
6555122423440345010
730213321550406520
oct2700520316323636
9437278411821536
10101200221022110
112a277855534471
12b425345315166
1344611a8468662
141adc18c831a10
15ba76b3ab8340
hex5c0a8339a79e

101200221022110 has 128 divisors (see below), whose sum is σ = 285359859283968. Its totient is φ = 22486985472000.

The previous prime is 101200221022093. The next prime is 101200221022139. The reversal of 101200221022110 is 11220122002101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101200221022110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18494826 + ... + 23333645.

It is an arithmetic number, because the mean of its divisors is an integer number (2229373900656).

Almost surely, 2101200221022110 is an apocalyptic number.

101200221022110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101200221022110 is an abundant number, since it is smaller than the sum of its proper divisors (184159638261858).

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

101200221022110 is a wasteful number, since it uses less digits than its factorization.

101200221022110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41828810.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101200221022110 its reverse (11220122002101), we get a palindrome (112420343024211).

The spelling of 101200221022110 in words is "one hundred one trillion, two hundred billion, two hundred twenty-one million, twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 281 287 410 562 574 615 843 861 1230 1405 1435 1686 1722 1967 2810 2870 3934 4215 4305 5901 8430 8610 9835 11521 11802 19670 23042 29505 34563 57605 59010 69126 80647 115210 161294 172815 241941 345630 403235 483882 806470 1209705 2419410 41828471 83656942 125485413 209142355 250970826 292799297 418284710 585598594 627427065 878397891 1254854130 1463996485 1714967311 1756795782 2927992970 3429934622 4391989455 5144901933 8574836555 8783978910 10289803866 11753800351 12004771177 17149673110 23507600702 24009542354 25724509665 35261401053 36014313531 51449019330 58769001755 60023855885 70522802106 72028627062 82276602457 117538003510 120047711770 164553204914 176307005265 180071567655 246829807371 352614010530 360143135310 411383012285 481905814391 493659614742 822766024570 963811628782 1234149036855 1445717443173 2409529071955 2468298073710 2891434886346 3373340700737 4819058143910 6746681401474 7228587215865 10120022102211 14457174431730 16866703503685 20240044204422 33733407007370 50600110511055 101200221022110