Search a number
-
+
211332101130332 = 22731311848626437
BaseRepresentation
bin110000000011010010010110…
…110100010100100001011100
31000201021011002111011010221222
4300003102112310110201130
5210144431120342132312
62025244343232512512
762341145321525000
oct6003222664244134
91021234074133858
10211332101130332
1161378493742936
121b8516b10ab738
1390bc6bac9c0c0
143a28757808700
15196737621d672
hexc03496d1485c

211332101130332 has 48 divisors (see below), whose sum is σ = 464466156369600. Its totient is φ = 83603908132416.

The previous prime is 211332101130257. The next prime is 211332101130379. The reversal of 211332101130332 is 233031101233112.

It is a super-2 number, since 2×2113321011303322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5924295383 + ... + 5924331054.

It is an arithmetic number, because the mean of its divisors is an integer number (9676378257700).

Almost surely, 2211332101130332 is an apocalyptic number.

It is an amenable number.

211332101130332 is an abundant number, since it is smaller than the sum of its proper divisors (253134055239268).

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

211332101130332 is a wasteful number, since it uses less digits than its factorization.

211332101130332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11848626475 (or 11848626459 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 211332101130332 its reverse (233031101233112), we get a palindrome (444363202363444).

The spelling of 211332101130332 in words is "two hundred eleven trillion, three hundred thirty-two billion, one hundred one million, one hundred thirty thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 343 364 637 686 1274 1372 2548 4459 8918 17836 11848626437 23697252874 47394505748 82940385059 154032143681 165880770118 308064287362 331761540236 580582695413 616128574724 1078225005767 1161165390826 2156450011534 2322330781652 4064078867891 4312900023068 7547575040369 8128157735782 15095150080738 16256315471564 30190300161476 52833025282583 105666050565166 211332101130332