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13141102313130 = 23511316211206821
BaseRepresentation
bin1011111100111010011010…
…1111000011111010101010
31201112021111000101201100220
42333032212233003322222
53210300434143010010
643540534500510510
72524261523436531
oct277164657037252
951467430351326
1013141102313130
114207123739020
121582a006ab436
1374427ba2abac
14336065bd5318
1517bc6c049970
hexbf3a6bc3eaa

13141102313130 has 128 divisors (see below), whose sum is σ = 35521549443072. Its totient is φ = 3082445280000.

The previous prime is 13141102313107. The next prime is 13141102313147. The reversal of 13141102313130 is 3131320114131.

It is a self number, because there is not a number n which added to its sum of digits gives 13141102313130.

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, 63435120 + ... + 63641940.

It is an arithmetic number, because the mean of its divisors is an integer number (277512105024).

Almost surely, 213141102313130 is an apocalyptic number.

13141102313130 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 13141102313130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17760774721536).

13141102313130 is an abundant number, since it is smaller than the sum of its proper divisors (22380447129942).

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

13141102313130 is a wasteful number, since it uses less digits than its factorization.

13141102313130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213084.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 13141102313130 its reverse (3131320114131), we get a palindrome (16272422427261).

The spelling of 13141102313130 in words is "thirteen trillion, one hundred forty-one billion, one hundred two million, three hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 310 330 341 465 682 930 1023 1705 2046 3410 5115 6211 10230 12422 18633 31055 37266 62110 68321 93165 136642 186330 192541 204963 206821 341605 385082 409926 413642 577623 620463 683210 962705 1024815 1034105 1155246 1240926 1925410 2049630 2068210 2117951 2275031 2888115 3102315 4235902 4550062 5776230 6204630 6353853 6411451 6825093 10589755 11375155 12707706 12822902 13650186 19234353 21179510 22750310 31769265 32057255 34125465 38468706 63538530 64114510 68250930 70525961 96171765 141051922 192343530 211577883 352629805 423155766 705259610 1057889415 1284565231 2115778830 2569130462 3853695693 6422826155 7707391386 12845652310 14130217541 19268478465 28260435082 38536956930 39821522161 42390652623 70651087705 79643044322 84781305246 119464566483 141302175410 199107610805 211953263115 238929132966 398215221610 423906526230 438036743771 597322832415 876073487542 1194645664830 1314110231313 2190183718855 2628220462626 4380367437710 6570551156565 13141102313130