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13311412100340 = 22351914518047331
BaseRepresentation
bin1100000110110100110111…
…1111010101110011110100
31202010120002012022022122120
43001231031333111303310
53221043232444202330
644151102302355540
72542501125646434
oct301551577256364
952116065268576
1013311412100340
11427237a114982
1215aba10b8bbb0
13757350bcb803
143403c0a6c2c4
151813d8b88c10
hexc1b4dfd5cf4

13311412100340 has 96 divisors (see below), whose sum is σ = 39260679575040. Its totient is φ = 3360565008000.

The previous prime is 13311412100279. The next prime is 13311412100341. The reversal of 13311412100340 is 4300121411331.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13311412100340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311412100341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2369526 + ... + 5677805.

It is an arithmetic number, because the mean of its divisors is an integer number (408965412240).

Almost surely, 213311412100340 is an apocalyptic number.

13311412100340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13311412100340 is an abundant number, since it is smaller than the sum of its proper divisors (25949267474700).

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

13311412100340 is a wasteful number, since it uses less digits than its factorization.

13311412100340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8048813 (or 8048811 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 13311412100340 its reverse (4300121411331), we get a palindrome (17611533511671).

The spelling of 13311412100340 in words is "thirteen trillion, three hundred eleven billion, four hundred twelve million, one hundred thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1451 2902 4353 5804 7255 8706 14510 17412 21765 27569 29020 43530 55138 82707 87060 110276 137845 165414 275690 330828 413535 551380 827070 1654140 8047331 16094662 24141993 32189324 40236655 48283986 80473310 96567972 120709965 152899289 160946620 241419930 305798578 458697867 482839860 611597156 764496445 917395734 1528992890 1834791468 2293489335 3057985780 4586978670 9173957340 11676677281 23353354562 35030031843 46706709124 58383386405 70060063686 116766772810 140120127372 175150159215 221856868339 233533545620 350300318430 443713736678 665570605017 700600636860 887427473356 1109284341695 1331141210034 2218568683390 2662282420068 3327853025085 4437137366780 6655706050170 13311412100340