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102212101212 = 223131183955343
BaseRepresentation
bin101111100110001010…
…0001110010001011100
3100202211100002201122020
41133030110032101130
53133312244214322
6114542224020140
710245624345114
oct1371424162134
9322740081566
10102212101212
113a391080521
1217986761650
13983bbba180
144d38b6c044
1529d354705c
hex17cc50e45c

102212101212 has 48 divisors (see below), whose sum is σ = 256867000320. Its totient is φ = 31446652608.

The previous prime is 102212101207. The next prime is 102212101319. The reversal of 102212101212 is 212101212201.

It is a junction number, because it is equal to n+sod(n) for n = 102212101191 and 102212101200.

It is a congruent number.

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, 1819213 + ... + 1874555.

It is an arithmetic number, because the mean of its divisors is an integer number (5351395840).

Almost surely, 2102212101212 is an apocalyptic number.

102212101212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102212101212 is an abundant number, since it is smaller than the sum of its proper divisors (154654899108).

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

102212101212 is a wasteful number, since it uses less digits than its factorization.

102212101212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67202 (or 67200 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102212101212 its reverse (212101212201), we get a palindrome (314313313413).

The spelling of 102212101212 in words is "one hundred two billion, two hundred twelve million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 11839 23678 35517 47356 55343 71034 110686 142068 153907 166029 221372 307814 332058 461721 615628 664116 719459 923442 1438918 1846884 2158377 2877836 4316754 8633508 655205777 1310411554 1965617331 2620823108 3931234662 7862469324 8517675101 17035350202 25553025303 34070700404 51106050606 102212101212