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103244435002163 = 71347971732276337
BaseRepresentation
bin10111011110011001110111…
…110111111001001100110011
3111112120001221012011110222002
4113132121313313321030303
5102013024100330032123
61003325501052404215
730514110226503530
oct2736316767711463
9445501835143862
10103244435002163
112a99579aa88934
12b6b556847666b
13457bba6b142b0
141b6d0b33c3d87
15be09584be528
hex5de677df9333

103244435002163 has 128 divisors (see below), whose sum is σ = 132471259619328. Its totient is φ = 78309349392384.

The previous prime is 103244435002147. The next prime is 103244435002171. The reversal of 103244435002163 is 361200534442301.

It is a cyclic number.

It is not a de Polignac number, because 103244435002163 - 24 = 103244435002147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103244435002963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16292317331 + ... + 16292323667.

It is an arithmetic number, because the mean of its divisors is an integer number (1034931715776).

Almost surely, 2103244435002163 is an apocalyptic number.

103244435002163 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

103244435002163 is a deficient number, since it is larger than the sum of its proper divisors (29226824617165).

103244435002163 is a wasteful number, since it uses less digits than its factorization.

103244435002163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6901.

The product of its (nonzero) digits is 207360, while the sum is 38.

Adding to 103244435002163 its reverse (361200534442301), we get a palindrome (464444969444464).

The spelling of 103244435002163 in words is "one hundred three trillion, two hundred forty-four billion, four hundred thirty-five million, two thousand, one hundred sixty-three".

Divisors: 1 7 13 47 91 97 173 227 329 611 679 1211 1261 1589 2249 2951 4277 4559 6337 8131 8827 10669 15743 16781 20657 22019 31913 39271 44359 56917 59267 74683 82381 105703 117467 138697 154133 218153 274897 286247 297839 414869 510523 576667 614689 739921 788707 970879 1034893 1096301 1438499 1527071 1845737 2003729 2084873 3573661 3809287 3871907 4302823 5520949 7244251 7674107 7990957 10069493 10253191 12920159 13453609 14251913 18700487 23994581 26665009 27103349 28890383 49520731 51526147 55936699 67609453 71772337 94175263 99763391 106341197 130903409 139534403 167962067 179036489 202232681 248860327 346645117 360683029 375574979 473266171 669839911 744388379 878922889 976740821 1253255423 1382435561 1742022289 1813947239 2327474357 2629024853 3235184251 4688879377 4998036259 6152460223 6558116941 9677048927 11696435369 12697630673 16292320499 22646289757 24139451719 34986253813 45906818587 64974471367 81875047583 85255520233 152053659797 168976162033 313812872347 454821299569 596788641631 1064375618579 1134554230793 2196690106429 7941879615551 14749205000309 103244435002163