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331311121321314 = 233112714025532187
BaseRepresentation
bin100101101010100110110000…
…1101100100100110101100010
31121110002000220200201110100210
41023111031201230210311202
5321411200134024240224
63132350121123354550
7126533303304420201
oct11325154154446542
91543060820643323
10331311121321314
11966252917a5002
12311aa394222a56
13112b3673a332a4
145bb57883bd238
152848268ab4429
hex12d5361b24d62

331311121321314 has 32 divisors (see below), whose sum is σ = 689382958104576. Its totient is φ = 106033023326160.

The previous prime is 331311121321307. The next prime is 331311121321343. The reversal of 331311121321314 is 413123121113133.

It is a super-2 number, since 2×3313111213213142 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 7012742472 + ... + 7012789715.

It is an arithmetic number, because the mean of its divisors is an integer number (21543217440768).

Almost surely, 2331311121321314 is an apocalyptic number.

331311121321314 is an abundant number, since it is smaller than the sum of its proper divisors (358071836783262).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331311121321314 is a wasteful number, since it uses less digits than its factorization.

331311121321314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14025532350.

The product of its digits is 3888, while the sum is 30.

Adding to 331311121321314 its reverse (413123121113133), we get a palindrome (744434242434447).

The spelling of 331311121321314 in words is "three hundred thirty-one trillion, three hundred eleven billion, one hundred twenty-one million, three hundred twenty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 31 62 93 127 186 254 381 762 3937 7874 11811 23622 14025532187 28051064374 42076596561 84153193122 434791497797 869582995594 1304374493391 1781242587749 2608748986782 3562485175498 5343727763247 10687455526494 55218520220219 110437040440438 165655560660657 331311121321314