Search a number
-
+
121311224200331 = 1197652671741979
BaseRepresentation
bin11011100101010011111000…
…011011001111110010001011
3120220112020110210102221102222
4123211103320123033302023
5111400030341343402311
61110001335042044255
734360306140040634
oct3345237033176213
9526466423387388
10121311224200331
113572088a536220
1211732b1764968b
13528c7a3a29c69
1421d56cd1aa88b
15e058b3b54adb
hex6e54f86cfc8b

121311224200331 has 16 divisors (see below), whose sum is σ = 133705967552640. Its totient is φ = 109144258702080.

The previous prime is 121311224200321. The next prime is 121311224200373. The reversal of 121311224200331 is 133002422113121.

It is a cyclic number.

It is not a de Polignac number, because 121311224200331 - 234 = 121294044331147 is a prime.

It is a super-2 number, since 2×1213112242003312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 121311224200331.

It is not an unprimeable number, because it can be changed into a prime (121311224200321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68768900 + ... + 70510878.

It is an arithmetic number, because the mean of its divisors is an integer number (8356622972040).

Almost surely, 2121311224200331 is an apocalyptic number.

121311224200331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121311224200331 is a deficient number, since it is larger than the sum of its proper divisors (12394743352309).

121311224200331 is a wasteful number, since it uses less digits than its factorization.

121311224200331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807354.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 121311224200331 its reverse (133002422113121), we get a palindrome (254313646313452).

The spelling of 121311224200331 in words is "one hundred twenty-one trillion, three hundred eleven billion, two hundred twenty-four million, two hundred thousand, three hundred thirty-one".

Divisors: 1 11 97 1067 65267 717937 1741979 6330899 19161769 69639889 168971963 1858691593 113693743393 1250631177323 11028293109121 121311224200331