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13130223242211 = 32194114960720707
BaseRepresentation
bin1011111100010001111001…
…0010101100101111100011
31201111020101211111122122100
42333010132102230233203
53210111144122222321
643531535152341443
72523425113034565
oct277043622545743
951436354448570
1013130223242211
114202550797019
121580885244883
13743236b9431a
14335713003335
1517b831de6326
hexbf11e4acbe3

13130223242211 has 96 divisors (see below), whose sum is σ = 20623180032000. Its totient is φ = 8022584424960.

The previous prime is 13130223242189. The next prime is 13130223242221. The reversal of 13130223242211 is 11224232203131.

13130223242211 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 2 + 232 + 422 + 1 + 1 = 666.

It is not a de Polignac number, because 13130223242211 - 25 = 13130223242179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13130223242221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 634085520 + ... + 634106226.

It is an arithmetic number, because the mean of its divisors is an integer number (214824792000).

Almost surely, 213130223242211 is an apocalyptic number.

13130223242211 is a deficient number, since it is larger than the sum of its proper divisors (7492956789789).

13130223242211 is a wasteful number, since it uses less digits than its factorization.

13130223242211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21529 (or 21526 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13130223242211 its reverse (11224232203131), we get a palindrome (24354455445342).

The spelling of 13130223242211 in words is "thirteen trillion, one hundred thirty billion, two hundred twenty-three million, two hundred forty-two thousand, two hundred eleven".

Divisors: 1 3 9 19 41 57 123 149 171 369 447 607 779 1341 1821 2337 2831 5463 6109 7011 8493 11533 18327 20707 24887 25479 34599 54981 62121 74661 90443 103797 116071 186363 223983 271329 348213 393433 472853 813987 848987 1044639 1180299 1418559 1718417 2546961 3085343 3540897 3708163 4255677 5155251 7640883 9256029 11124489 12569149 15465753 16130753 27768087 33373467 37707447 48392259 58621517 70455097 113122341 126499063 145176777 175864551 211365291 238813831 379497189 515335109 527593653 634095873 716441493 1138491567 1546005327 1872803201 2149324479 2403482197 4638015981 5618409603 7210446591 9791367071 16855228809 21631339773 29374101213 35583260819 76784931241 88122303639 106749782457 230354793723 320249347371 691064381169 1458913693579 4376741080737 13130223242211