Search a number
-
+
110121020112231 = 33127113761282299
BaseRepresentation
bin11001000010011110001100…
…010010010011110101100111
3112102220110121020020110112000
4121002132030102103311213
5103413210322122042411
61030112522004500343
732123660351510232
oct3102361422236547
9472813536213460
10110121020112231
11320a7076005777
12104262369aa6b3
13495a4a191821b
141d29c5894c419
15cae77901d956
hex64278c493d67

110121020112231 has 32 divisors (see below), whose sum is σ = 164428864512000. Its totient is φ = 72835052048640.

The previous prime is 110121020112227. The next prime is 110121020112277. The reversal of 110121020112231 is 132211020121011.

It is a happy number.

110121020112231 is a `hidden beast` number, since 1 + 10 + 1 + 210 + 201 + 12 + 231 = 666.

It is not a de Polignac number, because 110121020112231 - 22 = 110121020112227 is a prime.

It is a super-2 number, since 2×1101210201122312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110121020112331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389945320 + ... + 390227618.

It is an arithmetic number, because the mean of its divisors is an integer number (5138402016000).

Almost surely, 2110121020112231 is an apocalyptic number.

110121020112231 is a deficient number, since it is larger than the sum of its proper divisors (54307844399769).

110121020112231 is a wasteful number, since it uses less digits than its factorization.

110121020112231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396196 (or 396190 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 110121020112231 its reverse (132211020121011), we get a palindrome (242332040233242).

The spelling of 110121020112231 in words is "one hundred ten trillion, one hundred twenty-one billion, twenty million, one hundred twelve thousand, two hundred thirty-one".

Divisors: 1 3 9 27 127 381 1143 3429 113761 282299 341283 846897 1023849 2540691 3071547 7622073 14447647 35851973 43342941 107555919 130028823 322667757 390086469 968003271 32114616539 96343849617 289031548851 867094646553 4078556300453 12235668901359 36707006704077 110121020112231