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102202201112220 = 223351117205757763
BaseRepresentation
bin10111001111001111001101…
…111001000111111010011100
3111101212102202010020011002000
4113033033031321013322130
5101343440101441042340
61001211013143202300
730345602550555156
oct2717171571077234
9441772663204060
10102202201112220
112a62378a138370
12b56757a446390
13450481aa2a141
141b34881c2dad6
15bc37a90acd30
hex5cf3cde47e9c

102202201112220 has 96 divisors (see below), whose sum is σ = 346868076522240. Its totient is φ = 24776291177280.

The previous prime is 102202201112161. The next prime is 102202201112261. The reversal of 102202201112220 is 22211102202201.

It is a happy number.

102202201112220 is a `hidden beast` number, since 1 + 0 + 220 + 220 + 1 + 1 + 1 + 2 + 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 = 102202201112193 and 102202201112202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8602872942 + ... + 8602884821.

It is an arithmetic number, because the mean of its divisors is an integer number (3613209130440).

Almost surely, 2102202201112220 is an apocalyptic number.

102202201112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202201112220 is an abundant number, since it is smaller than the sum of its proper divisors (244665875410020).

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

102202201112220 is a wasteful number, since it uses less digits than its factorization.

102202201112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17205757792 (or 17205757784 counting only the distinct ones).

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

Adding to 102202201112220 its reverse (22211102202201), we get a palindrome (124413303314421).

The spelling of 102202201112220 in words is "one hundred two trillion, two hundred two billion, two hundred one million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 17205757763 34411515526 51617273289 68823031052 86028788815 103234546578 154851819867 172057577630 189263335393 206469093156 258086366445 309703639734 344115155260 378526670786 464555459601 516172732890 567790006179 619407279468 757053341572 774259099335 929110919202 946316676965 1032345465780 1135580012358 1548518198670 1703370018537 1858221838404 1892633353930 2271160024716 2322777298005 2838950030895 3097036397340 3406740037074 3785266707860 4645554596010 5110110055611 5677900061790 6813480074148 8516850092685 9291109192020 10220220111222 11355800123580 17033700185370 20440440222444 25550550278055 34067400370740 51101100556110 102202201112220