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20313145222515 = 3352943547722031
BaseRepresentation
bin1001001111001100001011…
…10011100010010101110011
32122220220210000110000201000
410213212011303202111303
510130302310134110030
6111111421411013043
74164401450343165
oct447460563422563
978826700400630
1020313145222515
116521835a085a2
1223409a729a183
13b446a15cc802
1450323912c935
152535d15d0860
hex127985ce2573

20313145222515 has 128 divisors (see below), whose sum is σ = 38235002572800. Its totient is φ = 10214515100160.

The previous prime is 20313145222499. The next prime is 20313145222561. The reversal of 20313145222515 is 51522254131302.

20313145222515 is a `hidden beast` number, since 2 + 0 + 3 + 131 + 4 + 5 + 2 + 2 + 2 + 515 = 666.

It is not a de Polignac number, because 20313145222515 - 24 = 20313145222499 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20313145222515.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 922014550 + ... + 922036580.

It is an arithmetic number, because the mean of its divisors is an integer number (298710957600).

Almost surely, 220313145222515 is an apocalyptic number.

20313145222515 is a deficient number, since it is larger than the sum of its proper divisors (17921857350285).

20313145222515 is a wasteful number, since it uses less digits than its factorization.

20313145222515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27594 (or 27588 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 20313145222515 its reverse (51522254131302), we get a palindrome (71835399353817).

The spelling of 20313145222515 in words is "twenty trillion, three hundred thirteen billion, one hundred forty-five million, two hundred twenty-two thousand, five hundred fifteen".

Divisors: 1 3 5 9 15 27 29 43 45 87 129 135 145 215 261 387 435 645 783 1161 1247 1305 1935 3741 3915 5477 5805 6235 11223 16431 18705 22031 27385 33669 49293 56115 66093 82155 110155 147879 158833 168345 198279 235511 246465 330465 476499 594837 638899 706533 739395 794165 947333 991395 1177555 1429497 1916697 2119599 2382495 2841999 2974185 3194495 3532665 4288491 4736665 5750091 6358797 6829819 7147485 8525997 9583485 10597995 14209995 17250273 20489457 21442455 25577991 27472657 28750455 31793985 34149095 42629985 61468371 82417971 86251365 102447285 120663787 127889955 137363285 184405113 247253913 307341855 361991361 412089855 603318935 741761739 922025565 1085974083 1236269565 1809956805 3257922249 3499249823 3708808695 5188542841 5429870415 10497749469 15565628523 16289611245 17496249115 25942714205 31493248407 46696885569 52488747345 77828142615 94479745221 140090656707 150467742389 157466242035 233484427845 451403227167 472398726105 700453283535 752338711945 1354209681501 2257016135835 4062629044503 6771048407505 20313145222515