Search a number
-
+
1011022201111 = 131753277317983
BaseRepresentation
bin11101011011001011001…
…11101000000100010111
310120122121212122020220211
432231211213220010113
5113031033140413421
62052242430310251
7133021033626106
oct16554547500427
93518555566824
101011022201111
1135a85474780a
12143b39358387
1374453997430
1436d1025603d
151b47423d9e1
hexeb659e8117

1011022201111 has 64 divisors (see below), whose sum is σ = 1183753605888. Its totient is φ = 855090782208.

The previous prime is 1011022201093. The next prime is 1011022201117. The reversal of 1011022201111 is 1111022201101.

It is a happy number.

It is not a de Polignac number, because 1011022201111 - 27 = 1011022200983 is a prime.

It is a super-2 number, since 2×10110222011112 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 1011022201091 and 1011022201100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011022201117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1028506326 + ... + 1028507308.

It is an arithmetic number, because the mean of its divisors is an integer number (18496150092).

Almost surely, 21011022201111 is an apocalyptic number.

1011022201111 is a deficient number, since it is larger than the sum of its proper divisors (172731404777).

1011022201111 is a wasteful number, since it uses less digits than its factorization.

1011022201111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1011022201111 its reverse (1111022201101), we get a palindrome (2122044402212).

The spelling of 1011022201111 in words is "one trillion, eleven billion, twenty-two million, two hundred one thousand, one hundred eleven".

Divisors: 1 13 17 53 221 277 317 689 901 983 3601 4121 4709 5389 11713 12779 14681 16711 16801 52099 61217 70057 87809 190853 217243 218413 249577 272291 285617 311611 677287 885683 1141517 1492753 3244501 3539783 3713021 4050943 4628947 4653877 5297387 11513879 14431423 16515383 19405789 60176311 60500401 68866031 79115909 86316247 187608499 214699979 245334191 280761511 1028506817 1122111211 1467376199 3189344483 3649899643 4574761091 19075890587 59471894183 77770938547 1011022201111