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101101230122220 = 223251733039617687
BaseRepresentation
bin10110111111001101110110…
…111010000110010011101100
3111020222011221120001222110200
4112333031312322012103230
5101222420304402402340
6555005133002033500
730203215505553036
oct2677156672062354
9436864846058420
10101101230122220
112a2398777781a9
12b40a1194a8890
134454a60a31193
141ad747b80ac56
15ba4d1d25b330
hex5bf376e864ec

101101230122220 has 72 divisors (see below), whose sum is σ = 324713362637664. Its totient is φ = 25374426382848.

The previous prime is 101101230122161. The next prime is 101101230122239. The reversal of 101101230122220 is 22221032101101.

101101230122220 is a `hidden beast` number, since 1 + 0 + 110 + 12 + 301 + 22 + 220 = 666.

It is a super-2 number, since 2×1011012301222202 (a number of 29 digits) contains 22 as substring.

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 = 101101230122193 and 101101230122202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16519805784 + ... + 16519811903.

It is an arithmetic number, because the mean of its divisors is an integer number (4509907814412).

Almost surely, 2101101230122220 is an apocalyptic number.

101101230122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101230122220 is an abundant number, since it is smaller than the sum of its proper divisors (223612132515444).

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

101101230122220 is a wasteful number, since it uses less digits than its factorization.

101101230122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33039617719 (or 33039617714 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101101230122220 its reverse (22221032101101), we get a palindrome (123322262223321).

The spelling of 101101230122220 in words is "one hundred one trillion, one hundred one billion, two hundred thirty million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 33039617687 66079235374 99118853061 132158470748 165198088435 198237706122 297356559183 330396176870 396475412244 495594265305 561673500679 594713118366 660792353740 991188530610 1123347001358 1189426236732 1486782795915 1685020502037 1982377061220 2246694002716 2808367503395 2973565591830 3370041004074 5055061506111 5616735006790 5947131183660 6740082008148 8425102510185 10110123012222 11233470013580 16850205020370 20220246024444 25275307530555 33700410040740 50550615061110 101101230122220