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102212101210 = 2573500927953
BaseRepresentation
bin101111100110001010…
…0001110010001011010
3100202211100002201122011
41133030110032101122
53133312244214320
6114542224020134
710245624345112
oct1371424162132
9322740081564
10102212101210
113a39108051a
121798676164a
13983bbba17b
144d38b6c042
1529d354705a
hex17cc50e45a

102212101210 has 32 divisors (see below), whose sum is σ = 186545987280. Its totient is φ = 40315281408.

The previous prime is 102212101207. The next prime is 102212101319. The reversal of 102212101210 is 12101212201.

It can be written as a sum of positive squares in 8 ways, for example, as 79434349281 + 22777751929 = 281841^2 + 150923^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3642594 + ... + 3670546.

Almost surely, 2102212101210 is an apocalyptic number.

102212101210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102212101210 is a deficient number, since it is larger than the sum of its proper divisors (84333886070).

102212101210 is a wasteful number, since it uses less digits than its factorization.

102212101210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33042.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102212101210 its reverse (12101212201), we get a palindrome (114313313411).

It can be divided in two parts, 10221210 and 1210, that multiplied together give a square (12367664100 = 1112102).

The spelling of 102212101210 in words is "one hundred two billion, two hundred twelve million, one hundred one thousand, two hundred ten".

Divisors: 1 2 5 10 73 146 365 730 5009 10018 25045 27953 50090 55906 139765 279530 365657 731314 1828285 2040569 3656570 4081138 10202845 20405690 140016577 280033154 700082885 1400165770 10221210121 20442420242 51106050605 102212101210