Search a number
-
+
101111101212 = 2231117101446123
BaseRepresentation
bin101111000101010110…
…0001111011100011100
3100122222121101010120110
41132022230033130130
53124033420214322
6114241053450020
710206425115432
oct1361254173434
9318877333513
10101111101212
1139976642970
1217719aa0910
1396c4a79294
144c7284cd52
15296ba64c0c
hex178ab0f71c

101111101212 has 96 divisors (see below), whose sum is σ = 275212111104. Its totient is φ = 28551808000.

The previous prime is 101111101199. The next prime is 101111101243. The reversal of 101111101212 is 212101111101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3583 + ... + 449705.

It is an arithmetic number, because the mean of its divisors is an integer number (2866792824).

Almost surely, 2101111101212 is an apocalyptic number.

101111101212 is a gapful number since it is divisible by the number (12) 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 101111101212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137606055552).

101111101212 is an abundant number, since it is smaller than the sum of its proper divisors (174101009892).

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

101111101212 is a wasteful number, since it uses less digits than its factorization.

101111101212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446259 (or 446257 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101111101212 its reverse (212101111101), we get a palindrome (313212212313).

It can be divided in two parts, 101111101 and 212, that multiplied together give a palindrome (21435553412).

The spelling of 101111101212 in words is "one hundred one billion, one hundred eleven million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 101 102 132 187 202 204 303 374 404 561 606 748 1111 1122 1212 1717 2222 2244 3333 3434 4444 5151 6666 6868 10302 13332 18887 20604 37774 56661 75548 113322 226644 446123 892246 1338369 1784492 2676738 4907353 5353476 7584091 9814706 14722059 15168182 19629412 22752273 29444118 30336364 45058423 45504546 58888236 83425001 90116846 91009092 135175269 166850002 180233692 250275003 270350538 333700004 495642653 500550006 540701076 765993191 991285306 1001100012 1486927959 1531986382 1982570612 2297979573 2973855918 3063972764 4595959146 5947711836 8425925101 9191918292 16851850202 25277775303 33703700404 50555550606 101111101212