Search a number
-
+
20111111010 = 23251776917093
BaseRepresentation
bin10010101110101101…
…110011001101100010
31220220120121021220100
4102232231303031202
5312141421023020
613123334523230
71311241423464
oct225655631542
956816537810
1020111111010
11859021a401
123a93206516
131b8670b8b3
14d8ad6a134
157ca8b7a90
hex4aeb73362

20111111010 has 96 divisors (see below), whose sum is σ = 55439944560. Its totient is φ = 5040635904.

The previous prime is 20111111003. The next prime is 20111111021. The reversal of 20111111010 is 1011111102.

It can be written as a sum of positive squares in 8 ways, for example, as 10997926641 + 9113184369 = 104871^2 + 95463^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20111110983 and 20111111001.

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 47 ways as a sum of consecutive naturals, for example, 1168024 + ... + 1185116.

Almost surely, 220111111010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20111111010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27719972280).

20111111010 is an abundant number, since it is smaller than the sum of its proper divisors (35328833550).

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

20111111010 is a wasteful number, since it uses less digits than its factorization.

20111111010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17892 (or 17889 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 20111111010 its reverse (1011111102), we get a palindrome (21122222112).

The spelling of 20111111010 in words is "twenty billion, one hundred eleven million, one hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 769 1530 1538 2307 3845 4614 6921 7690 11535 13073 13842 17093 23070 26146 34186 34605 39219 51279 65365 69210 78438 85465 102558 117657 130730 153837 170930 196095 235314 256395 290581 307674 392190 512790 581162 588285 769185 871743 1176570 1452905 1538370 1743486 2615229 2905810 4358715 5230458 8717430 13076145 13144517 26152290 26289034 39433551 65722585 78867102 118300653 131445170 197167755 223456789 236601306 394335510 446913578 591503265 670370367 1117283945 1183006530 1340740734 2011111101 2234567890 3351851835 4022222202 6703703670 10055555505 20111111010