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11300246131503 = 3729971871102241
BaseRepresentation
bin1010010001110000101100…
…1010000001001100101111
31111000021220120201111000010
42210130023022001030233
52440120401002202003
640011132244104303
72244262430166360
oct244341312011457
944007816644003
1011300246131503
11366745338747a
121326091695093
1363c7bb23c5b4
142b0d13267b67
15148e2a786003
hexa470b28132f

11300246131503 has 64 divisors (see below), whose sum is σ = 18006632017920. Its totient is φ = 6166985932800.

The previous prime is 11300246131477. The next prime is 11300246131519. The reversal of 11300246131503 is 30513164200311.

It is not a de Polignac number, because 11300246131503 - 230 = 11299172389679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11300245131503) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 110474463 + ... + 110576703.

It is an arithmetic number, because the mean of its divisors is an integer number (281353625280).

Almost surely, 211300246131503 is an apocalyptic number.

11300246131503 is a deficient number, since it is larger than the sum of its proper divisors (6706385886417).

11300246131503 is a wasteful number, since it uses less digits than its factorization.

11300246131503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104248.

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 11300246131503 in words is "eleven trillion, three hundred billion, two hundred forty-six million, one hundred thirty-one thousand, five hundred three".

Divisors: 1 3 7 21 29 87 97 203 291 609 679 1871 2037 2813 5613 8439 13097 19691 39291 54259 59073 102241 162777 181487 306723 379813 544461 715687 1139439 1270409 2147061 2964989 3811227 5263123 8894967 9917377 15789369 20754923 29752131 36841861 62264769 69421639 110525583 191292911 208264917 287603933 573878733 862811799 1339050377 2013227531 4017151131 5547494419 6039682593 16642483257 18555412367 38832460933 55666237101 116497382799 129887886569 389663659707 538106958643 1614320875929 3766748710501 11300246131503