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13302202441400 = 2352563701916831
BaseRepresentation
bin1100000110010010100100…
…0011010001111010111000
31202002200022100201011122022
43001210221003101322320
53220420402311111100
644142540351414012
72542023656102015
oct301445103217270
952080270634568
1013302202441400
1142694835438a4
1215aa080824308
13756513b91992
1433db8987c70c
1518104a395e85
hexc19290d1eb8

13302202441400 has 96 divisors (see below), whose sum is σ = 30988809446400. Its totient is φ = 5310357782400.

The previous prime is 13302202441393. The next prime is 13302202441421. The reversal of 13302202441400 is 414420220331.

It is a self number, because there is not a number n which added to its sum of digits gives 13302202441400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 790330985 + ... + 790347815.

It is an arithmetic number, because the mean of its divisors is an integer number (322800098400).

Almost surely, 213302202441400 is an apocalyptic number.

13302202441400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13302202441400 is an abundant number, since it is smaller than the sum of its proper divisors (17686607005000).

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

13302202441400 is a wasteful number, since it uses less digits than its factorization.

13302202441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24429 (or 24420 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 13302202441400 its reverse (414420220331), we get a palindrome (13716622661731).

The spelling of 13302202441400 in words is "thirteen trillion, three hundred two billion, two hundred two million, four hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 563 1126 2252 2815 4504 5630 7019 11260 14038 14075 16831 22520 28076 28150 33662 35095 56152 56300 67324 70190 84155 112600 134648 140380 168310 175475 280760 336620 350950 420775 673240 701900 841550 1403800 1683100 3366200 3951697 7903394 9475853 15806788 18951706 19758485 31613576 37903412 39516970 47379265 75806824 79033940 94758530 98792425 118136789 158067880 189517060 197584850 236273578 236896325 379034120 395169700 472547156 473792650 590683945 790339400 945094312 947585300 1181367890 1895170600 2362735780 2953419725 4725471560 5906839450 11813678900 23627357800 66511012207 133022024414 266044048828 332555061035 532088097656 665110122070 1330220244140 1662775305175 2660440488280 3325550610350 6651101220700 13302202441400