Search a number
-
+
111020101011 = 3431536712451
BaseRepresentation
bin110011101100101010…
…0000100110110010011
3101121120011220110220000
41213121110010312103
53304332121213021
6123000230021043
711010116200611
oct1473124046623
9347504813800
10111020101011
11430a0a530a6
12196244a7783
13a613954481
1455328846b1
152d4b949b26
hex19d9504d93

111020101011 has 80 divisors (see below), whose sum is σ = 177042336768. Its totient is φ = 69220008000.

The previous prime is 111020100991. The next prime is 111020101039. The reversal of 111020101011 is 110101020111.

It is not a de Polignac number, because 111020101011 - 27 = 111020100883 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 111020100984 and 111020101002.

It is not an unprimeable number, because it can be changed into a prime (111020101051) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8910336 + ... + 8922786.

Almost surely, 2111020101011 is an apocalyptic number.

111020101011 is a deficient number, since it is larger than the sum of its proper divisors (66022235757).

111020101011 is a wasteful number, since it uses less digits than its factorization.

111020101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12614 (or 12605 counting only the distinct ones).

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

Adding to 111020101011 its reverse (110101020111), we get a palindrome (221121121122).

The spelling of 111020101011 in words is "one hundred eleven billion, twenty million, one hundred one thousand, eleven".

Divisors: 1 3 9 27 31 53 67 81 93 159 201 279 477 603 837 1431 1643 1809 2077 2511 3551 4293 4929 5427 6231 10653 12451 14787 18693 31959 37353 44361 56079 95877 110081 112059 133083 168237 287631 330243 336177 385981 659903 834217 990729 1008531 1157943 1979709 2502651 2972187 3473829 5939127 7507953 8916561 10421487 17817381 20456993 22523859 25860727 31264461 44213501 53452143 61370979 67571577 77582181 132640503 184112937 232746543 397921509 552338811 698239629 1193764527 1370618531 1657016433 2094718887 3581293581 4111855593 12335566779 37006700337 111020101011