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13311200042322 = 23713372749239689
BaseRepresentation
bin1100000110110100000101…
…0110011001110101010010
31202010112112102021122201220
43001231001112121311102
53221042314202323242
644151025245305510
72542462642331460
oct301550126316522
952115472248656
1013311200042322
114272280446616
1215ab971b65296
13757318cb1cb0
143403a082b830
151813c524bbec
hexc1b41599d52

13311200042322 has 128 divisors (see below), whose sum is σ = 33663981120000. Its totient is φ = 3414507042816.

The previous prime is 13311200042311. The next prime is 13311200042339. The reversal of 13311200042322 is 22324000211331.

It is a junction number, because it is equal to n+sod(n) for n = 13311200042292 and 13311200042301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55415454 + ... + 55655142.

It is an arithmetic number, because the mean of its divisors is an integer number (262999852500).

Almost surely, 213311200042322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13311200042322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16831990560000).

13311200042322 is an abundant number, since it is smaller than the sum of its proper divisors (20352781077678).

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

13311200042322 is a wasteful number, since it uses less digits than its factorization.

13311200042322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242500.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13311200042322 its reverse (22324000211331), we get a palindrome (35635200253653).

The spelling of 13311200042322 in words is "thirteen trillion, three hundred eleven billion, two hundred million, forty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 182 222 259 273 481 518 546 777 962 1443 1554 2749 2886 3367 5498 6734 8247 10101 16494 19243 20202 35737 38486 57729 71474 101713 107211 115458 203426 214422 239689 250159 305139 479378 500318 610278 711991 719067 750477 1322269 1423982 1438134 1500954 1677823 2135973 2644538 3115957 3355646 3966807 4271946 5033469 6231914 7933614 8868493 9255883 9347871 10066938 17736986 18511766 18695742 21811699 26605479 27767649 43623398 53210958 55535298 62079451 65435097 115290409 124158902 130870194 186238353 230580818 345871227 372476706 658905061 691742454 807032863 1317810122 1614065726 1976715183 2421098589 3953430366 4612335427 4842197178 8565765793 9224670854 13837006281 17131531586 24379487257 25697297379 27674012562 48758974514 51394594758 59960360551 73138461771 119920721102 146276923542 170656410799 179881081653 316933334341 341312821598 359762163306 511969232397 633866668682 950800003023 1023938464794 1901600006046 2218533340387 4437066680774 6655600021161 13311200042322