Search a number
-
+
211000110020100 = 223252234444566689
BaseRepresentation
bin101111111110011101001010…
…100110101111011000000100
31000200002102011110022100002100
4233332131022212233120010
5210124011211131120400
62024432040135112100
762305153265615352
oct5776351246573004
91020072143270070
10211000110020100
116125a70a387a65
121b7b9299b12630
1390972c042448b
143a16661a387d2
15195d8e522c100
hexbfe74a9af604

211000110020100 has 54 divisors (see below), whose sum is σ = 661368122632490. Its totient is φ = 56266696005120.

The previous prime is 211000110020087. The next prime is 211000110020159. The reversal of 211000110020100 is 1020011000112.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 52256590392384 + 158743519627716 = 7228872^2 + 12599346^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 117222282445 + ... + 117222284244.

Almost surely, 2211000110020100 is an apocalyptic number.

211000110020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211000110020100 is an abundant number, since it is smaller than the sum of its proper divisors (450368012612390).

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

211000110020100 is a wasteful number, since it uses less digits than its factorization.

211000110020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234444566709 (or 234444566699 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 211000110020100 its reverse (1020011000112), we get a palindrome (212020121020212).

The spelling of 211000110020100 in words is "two hundred eleven trillion, one hundred ten million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 234444566689 468889133378 703333700067 937778266756 1172222833445 1406667400134 2110001100201 2344445666890 2813334800268 3516668500335 4220002200402 4688891333780 5861114167225 7033337000670 8440004400804 10550005501005 11722228334450 14066674001340 17583342501675 21100011002010 23444456668900 35166685003350 42200022004020 52750027505025 70333370006700 105500055010050 211000110020100