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102222200222200 = 23528874513127681
BaseRepresentation
bin10111001111100001110101…
…111011101011000111111000
3111101221100100220002012110001
4113033201311323223013320
5101344302031224102300
61001224121441402344
730350211262314232
oct2717416573530770
9441840326065401
10102222200222200
112a631212109733
12b56b4200393b4
134506687182926
141b3581bd63252
15bc4079c0016a
hex5cf875eeb1f8

102222200222200 has 96 divisors (see below), whose sum is σ = 237989145800160. Its totient is φ = 40833412300800.

The previous prime is 102222200222189. The next prime is 102222200222201. The reversal of 102222200222200 is 2222002222201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102222200222201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 800542360 + ... + 800670040.

It is an arithmetic number, because the mean of its divisors is an integer number (2479053602085).

Almost surely, 2102222200222200 is an apocalyptic number.

102222200222200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102222200222200 is an abundant number, since it is smaller than the sum of its proper divisors (135766945577960).

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

102222200222200 is a wasteful number, since it uses less digits than its factorization.

102222200222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133097 (or 133088 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 102222200222200 its reverse (2222002222201), we get a palindrome (104444202444401).

The spelling of 102222200222200 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 887 1774 3548 4435 4513 7096 8870 9026 17740 18052 22175 22565 35480 36104 44350 45130 88700 90260 112825 127681 177400 180520 225650 255362 451300 510724 638405 902600 1021448 1276810 2553620 3192025 4003031 5107240 6384050 8006062 12768100 16012124 20015155 25536200 32024248 40030310 80060620 100075775 113253047 160121240 200151550 226506094 400303100 453012188 566265235 576224353 800606200 906024376 1132530470 1152448706 2265060940 2304897412 2831326175 2881121765 4530121880 4609794824 5662652350 5762243530 11325304700 11524487060 14405608825 22650609400 23048974120 28811217650 57622435300 115244870600 511111001111 1022222002222 2044444004444 2555555005555 4088888008888 5111110011110 10222220022220 12777775027775 20444440044440 25555550055550 51111100111100 102222200222200