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311144432233213 is a prime number
BaseRepresentation
bin100011010111110111111010…
…1010110110110101011111101
31111210200010011110022220212101
41012233233311112312223331
5311240242244122430323
63021425440123505101
7122352305041460425
oct10657576526665375
91453603143286771
10311144432233213
119015a681527a27
122aa91a60988191
131047ca42728457
1456b9684105485
1525e88a9ddddad
hex11afbf55b6afd

311144432233213 has 2 divisors, whose sum is σ = 311144432233214. Its totient is φ = 311144432233212.

The previous prime is 311144432233207. The next prime is 311144432233247. The reversal of 311144432233213 is 312332234441113.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 309747785720409 + 1396646512804 = 17599653^2 + 1181798^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-311144432233213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311144432233813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155572216116606 + 155572216116607.

It is an arithmetic number, because the mean of its divisors is an integer number (155572216116607).

Almost surely, 2311144432233213 is an apocalyptic number.

It is an amenable number.

311144432233213 is a deficient number, since it is larger than the sum of its proper divisors (1).

311144432233213 is an equidigital number, since it uses as much as digits as its factorization.

311144432233213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 124416, while the sum is 37.

Adding to 311144432233213 its reverse (312332234441113), we get a palindrome (623476666674326).

The spelling of 311144432233213 in words is "three hundred eleven trillion, one hundred forty-four billion, four hundred thirty-two million, two hundred thirty-three thousand, two hundred thirteen".