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101334240301314 = 2353101131149916067
BaseRepresentation
bin10111000010100110110111…
…011001011001000100000010
3111021210110101102211111202210
4113002212313121121010002
5101240230011004120224
6555304150214522550
730226104640445166
oct2702466731310402
9437713342744683
10101334240301314
112a319678965549
12b447308066456
134470a15c51bb7
141b04863a2cca6
15baae0970e429
hex5c29b7659102

101334240301314 has 128 divisors (see below), whose sum is σ = 210282044544000. Its totient is φ = 32538405536000.

The previous prime is 101334240301313. The next prime is 101334240301339. The reversal of 101334240301314 is 413103042433101.

It is not an unprimeable number, because it can be changed into a prime (101334240301313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6306971509 + ... + 6306987575.

It is an arithmetic number, because the mean of its divisors is an integer number (1642828473000).

Almost surely, 2101334240301314 is an apocalyptic number.

101334240301314 is an abundant number, since it is smaller than the sum of its proper divisors (108947804242686).

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

101334240301314 is a wasteful number, since it uses less digits than its factorization.

101334240301314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17856.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 101334240301314 its reverse (413103042433101), we get a palindrome (514437282734415).

The spelling of 101334240301314 in words is "one hundred one trillion, three hundred thirty-four billion, two hundred forty million, three hundred one thousand, three hundred fourteen".

Divisors: 1 2 3 6 53 101 106 131 159 202 262 303 318 393 606 786 1499 2998 4497 5353 6943 8994 10706 13231 13886 16059 16067 20829 26462 32118 32134 39693 41658 48201 79386 79447 96402 151399 158894 196369 238341 302798 392738 454197 476682 589107 701243 851551 908394 1178214 1402486 1622767 1703102 2103729 2104777 2554653 3245534 4207458 4209554 4868301 5109306 6314331 8024147 9736602 10407557 12628662 16048294 19833269 20815114 24072441 24084433 31222671 39666538 48144882 48168866 59499807 62445342 72253299 86006651 111553181 118999614 144506598 172013302 212582477 223106362 258019953 334659543 425164954 516039906 637747431 669319086 1051163257 1275494862 1276474949 2102326514 2432527733 2552949898 3153489771 3155060723 3829424847 4865055466 6306979542 6310121446 7297583199 7658849694 9465182169 11266871281 14595166398 18930364338 22533742562 33800613843 67601227686 128923969849 167218218319 257847939698 318661133023 334436436638 386771909547 501654654957 637322266046 773543819094 955983399069 1003309309914 1911966798138 16889040050219 33778080100438 50667120150657 101334240301314