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221103101312331 = 3729994973648947
BaseRepresentation
bin110010010001011110010011…
…110011111111110101001011
31001222212020202021211022200120
4302101132103303333311023
5212440023122413443311
62102125210145034323
764400112652646040
oct6221362363776513
91058766667738616
10221103101312331
11644a53315aa217
122096b3193259a3
13964ac18a15324
143c856391a51c7
151a865ebccd706
hexc91793cffd4b

221103101312331 has 32 divisors (see below), whose sum is σ = 348540506979840. Its totient is φ = 121986658488576.

The previous prime is 221103101312263. The next prime is 221103101312371. The reversal of 221103101312331 is 133213101301122.

It is not a de Polignac number, because 221103101312331 - 211 = 221103101310283 is a prime.

It is a super-2 number, since 2×2211031013123312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221103101312371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58769200 + ... + 62418146.

It is an arithmetic number, because the mean of its divisors is an integer number (10891890843120).

Almost surely, 2221103101312331 is an apocalyptic number.

221103101312331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

221103101312331 is a deficient number, since it is larger than the sum of its proper divisors (127437405667509).

221103101312331 is a wasteful number, since it uses less digits than its factorization.

221103101312331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748483.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 221103101312331 its reverse (133213101301122), we get a palindrome (354316202613453).

The spelling of 221103101312331 in words is "two hundred twenty-one trillion, one hundred three billion, one hundred one million, three hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 7 21 29 87 203 609 99497 298491 696479 2089437 2885413 3648947 8656239 10946841 20197891 25542629 60593673 76627887 105819463 317458389 740736241 2222208723 363059279659 1089177838977 2541414957613 7624244872839 10528719110111 31586157330333 73701033770777 221103101312331