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13110214402230 = 23511383739140363
BaseRepresentation
bin1011111011000111010110…
…1011000010000010110110
31201102022202101100021012220
42332301311223002002312
53204244204341332410
643514425505423210
72522116222512261
oct276616553020266
951368671307186
1013110214402230
1141a501327a430
121578a2033ab06
13741398712b3a
14334775899cd8
1517b0604d1070
hexbec75ac20b6

13110214402230 has 128 divisors (see below), whose sum is σ = 34461360783360. Its totient is φ = 3165623487360.

The previous prime is 13110214402163. The next prime is 13110214402237. The reversal of 13110214402230 is 3220441201131.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13110214402230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13110214402237) 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 in 63 ways as a sum of consecutive naturals, for example, 93332029 + ... + 93472391.

It is an arithmetic number, because the mean of its divisors is an integer number (269229381120).

Almost surely, 213110214402230 is an apocalyptic number.

13110214402230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13110214402230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17230680391680).

13110214402230 is an abundant number, since it is smaller than the sum of its proper divisors (21351146381130).

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

13110214402230 is a wasteful number, since it uses less digits than its factorization.

13110214402230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141506.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13110214402230 its reverse (3220441201131), we get a palindrome (16330655603361).

The spelling of 13110214402230 in words is "thirteen trillion, one hundred ten billion, two hundred fourteen million, four hundred two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 383 739 766 1149 1478 1915 2217 2298 3695 3830 4213 4434 5745 7390 8129 8426 11085 11490 12639 16258 21065 22170 24387 25278 40645 42130 48774 63195 81290 121935 126390 140363 243870 280726 283037 421089 566074 701815 842178 849111 1403630 1415185 1543993 1698222 2105445 2830370 3087986 3113407 4210890 4245555 4631979 6226814 7719965 8491110 9263958 9340221 15439930 15567035 18680442 23159895 31134070 46319790 46701105 53759029 93402210 103728257 107518058 161277087 207456514 268795145 311184771 322554174 518641285 537590290 591349319 622369542 806385435 1037282570 1141010827 1182698638 1555923855 1612770870 1774047957 2282021654 2956746595 3111847710 3423032481 3548095914 5705054135 5913493190 6846064962 8870239785 11410108270 17115162405 17740479570 34230324810 39727922431 79455844862 119183767293 198639612155 238367534586 397279224310 437007146741 595918836465 874014293482 1191837672930 1311021440223 2185035733705 2622042880446 4370071467410 6555107201115 13110214402230