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102202110220 = 225713911814447
BaseRepresentation
bin101111100101110111…
…0000111000100001100
3100202210122022010120111
41133023232013010030
53133302220011340
6114541225525404
710245443413630
oct1371356070414
9322718263514
10102202110220
113a386477101
1217983343864
139839acc742
144d376cadc0
1529d2721aea
hex17cbb8710c

102202110220 has 96 divisors (see below), whose sum is σ = 247314493440. Its totient is φ = 34751358720.

The previous prime is 102202110209. The next prime is 102202110233. The reversal of 102202110220 is 22011202201.

It is a happy number.

102202110220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 102202110220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22980037 + ... + 22984483.

It is an arithmetic number, because the mean of its divisors is an integer number (2576192640).

Almost surely, 2102202110220 is an apocalyptic number.

102202110220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102202110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123657246720).

102202110220 is an abundant number, since it is smaller than the sum of its proper divisors (145112383220).

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

102202110220 is a wasteful number, since it uses less digits than its factorization.

102202110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5783 (or 5781 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102202110220 its reverse (22011202201), we get a palindrome (124213312421).

The spelling of 102202110220 in words is "one hundred two billion, two hundred two million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 139 140 278 556 695 973 1181 1390 1946 2362 2780 3892 4447 4724 4865 5905 8267 8894 9730 11810 16534 17788 19460 22235 23620 31129 33068 41335 44470 62258 82670 88940 124516 155645 164159 165340 311290 328318 618133 622580 656636 820795 1149113 1236266 1641590 2298226 2472532 3090665 3283180 4326931 4596452 5251907 5745565 6181330 8653862 10503814 11491130 12362660 17307724 21007628 21634655 22982260 26259535 36763349 43269310 52519070 73526698 86538620 105038140 147053396 183816745 367633490 730015073 735266980 1460030146 2920060292 3650075365 5110105511 7300150730 10220211022 14600301460 20440422044 25550527555 51101055110 102202110220