Search a number
-
+
120101022101011 = 71926918679179717
BaseRepresentation
bin11011010011101100110010…
…110000100110111000010011
3120202020112201201200111012011
4123103230302300212320103
5111220213343124213021
61103233351535043351
734204004200653040
oct3323546260467023
9522215651614164
10120101022101011
11352a4614a48996
1211578471370557
1352026299140c3
142192cc5b521c7
15dd4183489de1
hex6d3b32c26e13

120101022101011 has 32 divisors (see below), whose sum is σ = 145028112768000. Its totient is φ = 97157350806912.

The previous prime is 120101022100999. The next prime is 120101022101017. The reversal of 120101022101011 is 110101220101021.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 120101022101011 - 25 = 120101022100979 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120101022100982 and 120101022101000.

It is not an unprimeable number, because it can be changed into a prime (120101022101017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 668188725 + ... + 668368441.

It is an arithmetic number, because the mean of its divisors is an integer number (4532128524000).

Almost surely, 2120101022101011 is an apocalyptic number.

120101022101011 is a deficient number, since it is larger than the sum of its proper divisors (24927090666989).

120101022101011 is a wasteful number, since it uses less digits than its factorization.

120101022101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198691.

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

Adding to 120101022101011 its reverse (110101220101021), we get a palindrome (230202242202032).

The spelling of 120101022101011 in words is "one hundred twenty trillion, one hundred one billion, twenty-two million, one hundred one thousand, eleven".

Divisors: 1 7 19 133 269 1883 5111 18679 35777 130753 179717 354901 1258019 2484307 3414623 5024651 23902361 35172557 48343873 95468369 338407111 668278583 918533587 3356933843 6429735109 23498536901 63781743017 446472201119 903015203767 6321106426369 17157288871573 120101022101011