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11313145304055 = 3257237121993109
BaseRepresentation
bin1010010010100000110000…
…0000011101001111110111
31111001112012112210100012200
42210220030000131033313
52440323310144212210
640021104234115543
72245230200304420
oct244501400351767
944045175710180
1011313145304055
113671972655761
12132869157bbb3
13640a9576ac8a
142b17b8468647
15149432e1d0c0
hexa4a0c01d3f7

11313145304055 has 96 divisors (see below), whose sum is σ = 23714554705920. Its totient is φ = 4877191630080.

The previous prime is 11313145304053. The next prime is 11313145304057. The reversal of 11313145304055 is 55040354131311.

11313145304055 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 31 + 4 + 530 + 40 + 55 = 666.

It is an interprime number because it is at equal distance from previous prime (11313145304053) and next prime (11313145304057).

It is not a de Polignac number, because 11313145304055 - 21 = 11313145304053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11313145304053) 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, 10482160 + ... + 11510949.

It is an arithmetic number, because the mean of its divisors is an integer number (247026611520).

Almost surely, 211313145304055 is an apocalyptic number.

11313145304055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11313145304055 is an abundant number, since it is smaller than the sum of its proper divisors (12401409401865).

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

11313145304055 is a wasteful number, since it uses less digits than its factorization.

11313145304055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21993221 (or 21993218 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 11313145304055 its reverse (55040354131311), we get a palindrome (66353499435366).

The spelling of 11313145304055 in words is "eleven trillion, three hundred thirteen billion, one hundred forty-five million, three hundred four thousand, fifty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 71 105 115 161 207 213 315 345 355 483 497 639 805 1035 1065 1449 1491 1633 2415 2485 3195 4473 4899 7245 7455 8165 11431 14697 22365 24495 34293 57155 73485 102879 171465 514395 21993109 65979327 109965545 153951763 197937981 329896635 461855289 505841507 769758815 989689905 1385565867 1517524521 1561510739 2309276445 2529207535 3540890549 4552573563 4684532217 6927829335 7587622605 7807553695 10622671647 10930575173 14053596651 17704452745 22762867815 23422661085 31868014941 32791725519 35914746997 53113358235 54652875865 70267983255 98375176557 107744240991 159340074705 163958627595 179573734985 251403228979 323232722973 491875882785 538721204955 754209686937 1257016144895 1616163614865 2262629060811 3771048434685 11313145304055