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121311221232131 = 729733177109017
BaseRepresentation
bin11011100101010011111000…
…001111111011001000000011
3120220112020110120212010211122
4123211103320033323020003
5111400030340113412011
61110001334454302455
734360306102566200
oct3345237017731003
9526466416763748
10121311221232131
1135720888899167
1211732b16657a2b
13528c7a322ac28
1421d56cca36ca7
15e058b376a3db
hex6e54f83fb203

121311221232131 has 24 divisors (see below), whose sum is σ = 143002683549936. Its totient is φ = 102598172328960.

The previous prime is 121311221232121. The next prime is 121311221232133. The reversal of 121311221232131 is 131232122113121.

It is not a de Polignac number, because 121311221232131 - 26 = 121311221232067 is a prime.

It is a super-3 number, since 3×1213112212321313 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 121311221232131.

It is not an unprimeable number, because it can be changed into a prime (121311221232133) 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, 36981266 + ... + 40127751.

It is an arithmetic number, because the mean of its divisors is an integer number (5958445147914).

Almost surely, 2121311221232131 is an apocalyptic number.

121311221232131 is a deficient number, since it is larger than the sum of its proper divisors (21691462317805).

121311221232131 is an equidigital number, since it uses as much as digits as its factorization.

121311221232131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77109459 (or 77109452 counting only the distinct ones).

The product of its digits is 864, while the sum is 26.

Adding to 121311221232131 its reverse (131232122113121), we get a palindrome (252543343345252).

The spelling of 121311221232131 in words is "one hundred twenty-one trillion, three hundred eleven billion, two hundred twenty-one million, two hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 7 49 97 331 679 2317 4753 16219 32107 224749 1573243 77109017 539763119 3778341833 7479574649 25523084627 52357022543 178661592389 366499157801 1250631146723 2475739208819 17330174461733 121311221232131