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224356133131 = 13379101944687
BaseRepresentation
bin1101000011110010101…
…0101110100100001011
3210110002202122110000021
43100330222232210023
512133440132230011
6251022350321311
722131516444334
oct3207452564413
9713082573007
10224356133131
1187170208549
12375944b9237
131820633b180
14ac04b4328b
155c81861471
hex343caae90b

224356133131 has 16 divisors (see below), whose sum is σ = 242494963200. Its totient is φ = 206344218528.

The previous prime is 224356133119. The next prime is 224356133143. The reversal of 224356133131 is 131331653422.

224356133131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (224356133119) and next prime (224356133143).

It is a cyclic number.

It is not a de Polignac number, because 224356133131 - 213 = 224356124939 is a prime.

It is a super-2 number, since 2×2243561331312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (224356136131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4998270 + ... + 5042956.

It is an arithmetic number, because the mean of its divisors is an integer number (15155935200).

Almost surely, 2224356133131 is an apocalyptic number.

224356133131 is a deficient number, since it is larger than the sum of its proper divisors (18138830069).

224356133131 is a wasteful number, since it uses less digits than its factorization.

224356133131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46098.

The product of its digits is 38880, while the sum is 34.

Adding to 224356133131 its reverse (131331653422), we get a palindrome (355687786553).

The spelling of 224356133131 in words is "two hundred twenty-four billion, three hundred fifty-six million, one hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 13 379 1019 4927 13247 44687 386201 580931 5020613 16936373 45536053 220172849 591968689 17258164087 224356133131