Search a number
-
+
110021223313331 = 11478291324119387
BaseRepresentation
bin11001000001000001001111…
…111011101110111110110011
3112102112221000012221210202222
4121001001033323232332303
5103410041431132011311
61025555015141031255
732113525322640611
oct3101011773567663
9472487005853688
10110021223313331
1132068814349670
121040aa250b552b
134950c59243b25
141d250ac8a46b1
15cabd87a71adb
hex64104feeefb3

110021223313331 has 32 divisors (see below), whose sum is σ = 122740297159680. Its totient is φ = 97760713363200.

The previous prime is 110021223313327. The next prime is 110021223313367. The reversal of 110021223313331 is 133313322120011.

It is a cyclic number.

It is not a de Polignac number, because 110021223313331 - 22 = 110021223313327 is a prime.

It is a super-2 number, since 2×1100212233133312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 110021223313331.

It is not an unprimeable number, because it can be changed into a prime (110021223313321) 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, 5674990220 + ... + 5675009606.

It is an arithmetic number, because the mean of its divisors is an integer number (3835634286240).

Almost surely, 2110021223313331 is an apocalyptic number.

110021223313331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110021223313331 is a deficient number, since it is larger than the sum of its proper divisors (12719073846349).

110021223313331 is a wasteful number, since it uses less digits than its factorization.

110021223313331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33515.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 110021223313331 its reverse (133313322120011), we get a palindrome (243334545433342).

The spelling of 110021223313331 in words is "one hundred ten trillion, twenty-one billion, two hundred twenty-three million, three hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 11 47 517 829 9119 13241 19387 38963 145651 213257 428593 622327 911189 6845597 10023079 10976789 16071823 120744679 176790053 256703267 515909083 755375681 2823735937 5674999913 8309132491 12065053549 132715589039 212807008343 2340877091773 10001929392121 110021223313331