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101201220122220 = 22335659284384927
BaseRepresentation
bin10111000000101010111110…
…110001101011011001101100
3111021022202001000220021022000
4113000222332301223121230
5101231040044322402340
6555123110530452300
730213355401542031
oct2700527661533154
9437282030807260
10101201220122220
112a2782184a3139
12b425583a34090
13446130744c05a
141adc2453c7388
15ba772166cd30
hex5c0abec6b66c

101201220122220 has 96 divisors (see below), whose sum is σ = 315326008166400. Its totient is φ = 26946040508352.

The previous prime is 101201220122159. The next prime is 101201220122231. The reversal of 101201220122220 is 22221022102101.

It is a happy number.

101201220122220 is a `hidden beast` number, since 1 + 0 + 1 + 201 + 220 + 1 + 22 + 220 = 666.

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 = 101201220122193 and 101201220122202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141836604 + ... + 142548323.

It is an arithmetic number, because the mean of its divisors is an integer number (3284645918400).

Almost surely, 2101201220122220 is an apocalyptic number.

101201220122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201220122220 is an abundant number, since it is smaller than the sum of its proper divisors (214124788044180).

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

101201220122220 is a wasteful number, since it uses less digits than its factorization.

101201220122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284385604 (or 284385596 counting only the distinct ones).

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

Adding to 101201220122220 its reverse (22221022102101), we get a palindrome (123422242224321).

The spelling of 101201220122220 in words is "one hundred one trillion, two hundred one billion, two hundred twenty million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 659 1318 1977 2636 3295 3954 5931 6590 7908 9885 11862 13180 17793 19770 23724 29655 35586 39540 59310 71172 88965 118620 177930 355860 284384927 568769854 853154781 1137539708 1421924635 1706309562 2559464343 2843849270 3412619124 4265773905 5118928686 5687698540 7678393029 8531547810 10237857372 12797321715 15356786058 17063095620 25594643430 30713572116 38391965145 51189286860 76783930290 153567860580 187409666893 374819333786 562229000679 749638667572 937048334465 1124458001358 1686687002037 1874096668930 2248916002716 2811145003395 3373374004074 3748193337860 5060061006111 5622290006790 6746748008148 8433435010185 10120122012222 11244580013580 16866870020370 20240244024444 25300305030555 33733740040740 50600610061110 101201220122220