Search a number
-
+
111311212221 = 321110733731181
BaseRepresentation
bin110011110101010101…
…0100100111010111101
3101122022110200110101200
41213222222210322331
53310431132242341
6123045145330113
711020252456416
oct1475252447275
9348273613350
10111311212221
1143230306280
12196a5a96939
13a65c05c421
14555d3c280d
152d6729edb6
hex19eaaa4ebd

111311212221 has 48 divisors (see below), whose sum is σ = 177569765568. Its totient is φ = 66630412800.

The previous prime is 111311212219. The next prime is 111311212223. The reversal of 111311212221 is 122212113111.

It is a happy number.

111311212221 is a `hidden beast` number, since 111 + 311 + 21 + 2 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (111311212219) and next prime (111311212223).

It is not a de Polignac number, because 111311212221 - 21 = 111311212219 is a prime.

It is a super-2 number, since 2×1113112122212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111311212194 and 111311212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111311212223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3554251 + ... + 3585431.

It is an arithmetic number, because the mean of its divisors is an integer number (3699370116).

Almost surely, 2111311212221 is an apocalyptic number.

111311212221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111311212221 is a deficient number, since it is larger than the sum of its proper divisors (66258553347).

111311212221 is a wasteful number, since it uses less digits than its factorization.

111311212221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31642 (or 31639 counting only the distinct ones).

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

Adding to 111311212221 its reverse (122212113111), we get a palindrome (233523325332).

The spelling of 111311212221 in words is "one hundred eleven billion, three hundred eleven million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 107 321 337 963 1011 1177 3033 3531 3707 10593 11121 31181 33363 36059 93543 108177 280629 324531 342991 396649 1028973 1189947 3086919 3336367 3569841 10009101 10507997 30027303 31523991 36700037 94571973 110100111 115587967 330300333 346763901 1040291703 1124355679 3373067037 10119201111 12367912469 37103737407 111311212221