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311112222440121 = 322910889109468349
BaseRepresentation
bin100011010111101000111010…
…1100000001111101010111001
31111210120001000200220220020200
41012233101311200033222321
5311234230312421040441
63021402552032112413
7122350054616654214
oct10657216540175271
91453501020826220
10311112222440121
1190147a52985713
122aa87771995709
13104799ab5b339b
1456b7caa3d077b
1525e7b222b17b6
hex11af47580fab9

311112222440121 has 24 divisors (see below), whose sum is σ = 464923029285000. Its totient is φ = 200237750668032.

The previous prime is 311112222440111. The next prime is 311112222440171. The reversal of 311112222440121 is 121044222211113.

311112222440121 is a `hidden beast` number, since 3 + 1 + 1 + 1 + 12 + 2 + 224 + 401 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2879282954025 + 308232939486096 = 1696845^2 + 17556564^2 .

It is not a de Polignac number, because 311112222440121 - 230 = 311111148698297 is a prime.

It is a super-2 number, since 2×3111122224401212 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (311112222440111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51892146 + ... + 57576203.

It is an arithmetic number, because the mean of its divisors is an integer number (19371792886875).

Almost surely, 2311112222440121 is an apocalyptic number.

It is an amenable number.

311112222440121 is a deficient number, since it is larger than the sum of its proper divisors (153810806844879).

311112222440121 is a wasteful number, since it uses less digits than its factorization.

311112222440121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109479273 (or 109479270 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 311112222440121 its reverse (121044222211113), we get a palindrome (432156444651234).

The spelling of 311112222440121 in words is "three hundred eleven trillion, one hundred twelve billion, two hundred twenty-two million, four hundred forty thousand, one hundred twenty-one".

Divisors: 1 3 9 29 87 261 10889 32667 98001 315781 947343 2842029 109468349 328405047 985215141 3174582121 9523746363 28571239089 1192000852261 3576002556783 10728007670349 34568024715569 103704074146707 311112222440121