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2240334102319 is a prime number
BaseRepresentation
bin100000100110011110010…
…100010111111100101111
321221011200201212020011221
4200212132110113330233
5243201201012233234
64433110102524211
7320600365445065
oct40463624277457
97834621766157
102240334102319
11794136217045
12302237436667
13133354c13b81
147a60b66c035
153d422431eb4
hex2099e517f2f

2240334102319 has 2 divisors, whose sum is σ = 2240334102320. Its totient is φ = 2240334102318.

The previous prime is 2240334102313. The next prime is 2240334102329. The reversal of 2240334102319 is 9132014330422.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2240334102319 - 213 = 2240334094127 is a prime.

It is a super-3 number, since 3×22403341023193 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2240334102313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1120167051159 + 1120167051160.

It is an arithmetic number, because the mean of its divisors is an integer number (1120167051160).

Almost surely, 22240334102319 is an apocalyptic number.

2240334102319 is a deficient number, since it is larger than the sum of its proper divisors (1).

2240334102319 is an equidigital number, since it uses as much as digits as its factorization.

2240334102319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 2240334102319 in words is "two trillion, two hundred forty billion, three hundred thirty-four million, one hundred two thousand, three hundred nineteen".