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13310214424340 = 2258911399766373
BaseRepresentation
bin1100000110110000011010…
…0110100100011100010100
31202010102222201200002001012
43001230012212210130110
53221033304343034330
644150343400151352
72542426343610611
oct301540646443424
952112881602035
1013310214424340
1142719150561a9
1215ab737a68558
137571bca3c0a2
14340309985508
1518136895bc95
hexc1b069a4714

13310214424340 has 96 divisors (see below), whose sum is σ = 28544680311840. Its totient is φ = 5212366258176.

The previous prime is 13310214424153. The next prime is 13310214424369. The reversal of 13310214424340 is 4342441201331.

It can be written as a sum of positive squares in 16 ways, for example, as 2327101434256 + 10983112990084 = 1525484^2 + 3314078^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13310214424297 and 13310214424306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200503394 + ... + 200569766.

It is an arithmetic number, because the mean of its divisors is an integer number (297340419915).

Almost surely, 213310214424340 is an apocalyptic number.

13310214424340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13310214424340 is an abundant number, since it is smaller than the sum of its proper divisors (15234465887500).

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

13310214424340 is a wasteful number, since it uses less digits than its factorization.

13310214424340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67581 (or 67579 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 13310214424340 its reverse (4342441201331), we get a palindrome (17652655625671).

The spelling of 13310214424340 in words is "thirteen trillion, three hundred ten billion, two hundred fourteen million, four hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 89 113 178 226 356 445 452 565 890 997 1130 1780 1994 2260 3988 4985 9970 10057 19940 20114 40228 50285 66373 88733 100570 112661 132746 177466 201140 225322 265492 331865 354932 443665 450644 563305 663730 887330 1126610 1327460 1774660 2253220 5907197 7500149 10026829 11814394 15000298 20053658 23628788 29535985 30000596 37500745 40107316 50134145 59071970 66173881 75001490 100268290 118143940 132347762 150002980 200536580 264695524 330869405 661738810 667513261 1323477620 1335026522 2670053044 3337566305 5889475409 6675132610 7477648553 11778950818 13350265220 14955297106 23557901636 29447377045 29910594212 37388242765 58894754090 74776485530 117789508180 149552971060 665510721217 1331021442434 2662042884868 3327553606085 6655107212170 13310214424340