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331414343022213 = 33114755232346623
BaseRepresentation
bin100101101011010110110101…
…0001100000111011010000101
31121110102220100101120011102000
41023112231222030013122011
5321414343033303202323
63132505351454535513
7126543616241410533
oct11326555214073205
91543386311504360
10331414343022213
1196665040755730
12312063a0b07599
13112c0313b3bc09
145bba77b277153
15284acaaa86e43
hex12d6b6a307685

331414343022213 has 32 divisors (see below), whose sum is σ = 535620494868480. Its totient is φ = 200856669603120.

The previous prime is 331414343022209. The next prime is 331414343022221. The reversal of 331414343022213 is 312220343414133.

331414343022213 is a `hidden beast` number, since 3 + 3 + 1 + 4 + 1 + 4 + 3 + 430 + 2 + 2 + 213 = 666.

It is not a de Polignac number, because 331414343022213 - 22 = 331414343022209 is a prime.

It is a super-2 number, since 2×3314143430222132 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331414343022313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140057020 + ... + 142403642.

It is an arithmetic number, because the mean of its divisors is an integer number (16738140464640).

Almost surely, 2331414343022213 is an apocalyptic number.

331414343022213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

331414343022213 is a deficient number, since it is larger than the sum of its proper divisors (204206151846267).

331414343022213 is a wasteful number, since it uses less digits than its factorization.

331414343022213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822166 (or 2822160 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 331414343022213 its reverse (312220343414133), we get a palindrome (643634686436346).

The spelling of 331414343022213 in words is "three hundred thirty-one trillion, four hundred fourteen billion, three hundred forty-three million, twenty-two thousand, two hundred thirteen".

Divisors: 1 3 9 11 27 33 99 297 475523 1426569 2346623 4279707 5230753 7039869 12839121 15692259 21119607 25812853 47076777 63358821 77438559 141230331 232315677 696947031 1115873208829 3347619626487 10042858879461 12274605297119 30128576638383 36823815891357 110471447674071 331414343022213