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13221012341004 = 22313293221907301
BaseRepresentation
bin1100000001100100000110…
…1111101000000100001100
31201210220202002012201210220
43000121001233220010030
53213103113124403004
644041352122031340
72533121003452656
oct300310157500414
951726662181726
1013221012341004
114237aaa882776
1215963a2348550
1374b975320660
14339c86a2d6d6
1517dd97694dd9
hexc0641be810c

13221012341004 has 96 divisors (see below), whose sum is σ = 34378326037440. Its totient is φ = 3926504064000.

The previous prime is 13221012340927. The next prime is 13221012341027. The reversal of 13221012341004 is 40014321012231.

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, 14118154 + ... + 15025454.

It is an arithmetic number, because the mean of its divisors is an integer number (358107562890).

Almost surely, 213221012341004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13221012341004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17189163018720).

13221012341004 is an abundant number, since it is smaller than the sum of its proper divisors (21157313696436).

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

13221012341004 is a wasteful number, since it uses less digits than its factorization.

13221012341004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910571 (or 910569 counting only the distinct ones).

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

Adding to 13221012341004 its reverse (40014321012231), we get a palindrome (53235333353235).

The spelling of 13221012341004 in words is "thirteen trillion, two hundred twenty-one billion, twelve million, three hundred forty-one thousand, four".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 1131 1508 2262 3221 4524 6442 9663 12884 19326 38652 41873 83746 93409 125619 167492 186818 251238 280227 373636 502476 560454 907301 1120908 1214317 1814602 2428634 2721903 3629204 3642951 4857268 5443806 7285902 10887612 11794913 14571804 23589826 26311729 35384739 47179652 52623458 70769478 78935187 105246916 141538956 157870374 315740748 342052477 684104954 1026157431 1368209908 2052314862 2922416521 4104629724 5844833042 8767249563 11689666084 17534499126 35068998252 37991414773 75982829546 84750079109 113974244319 151965659092 169500158218 227948488638 254250237327 339000316436 455896977276 508500474654 1017000949308 1101751028417 2203502056834 3305253085251 4407004113668 6610506170502 13221012341004