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13100434431 = 3719417111279
BaseRepresentation
bin11000011001101100…
…01100001111111111
31020210222210000121020
430030312030033333
5203312202400211
610003535435223
7642432566250
oct141466141777
936728700536
1013100434431
115612943317
122657385b13
13130a138166
148c3c30b27
1551a190306
hex30cd8c3ff

13100434431 has 64 divisors (see below), whose sum is σ = 21830860800. Its totient is φ = 6820934400.

The previous prime is 13100434427. The next prime is 13100434441. The reversal of 13100434431 is 13443400131.

It is not a de Polignac number, because 13100434431 - 22 = 13100434427 is a prime.

It is a super-2 number, since 2×131004344312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100434411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1155850 + ... + 1167128.

It is an arithmetic number, because the mean of its divisors is an integer number (341107200).

Almost surely, 213100434431 is an apocalyptic number.

13100434431 is a deficient number, since it is larger than the sum of its proper divisors (8730426369).

13100434431 is a wasteful number, since it uses less digits than its factorization.

13100434431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11420.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13100434431 its reverse (13443400131), we get a palindrome (26543834562).

The spelling of 13100434431 in words is "thirteen billion, one hundred million, four hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 3 7 19 21 41 57 71 123 133 213 287 399 497 779 861 1349 1491 2337 2911 4047 5453 8733 9443 11279 16359 20377 28329 33837 55309 61131 78953 165927 214301 236859 387163 462439 642903 800809 1161489 1387317 1500107 2402427 3237073 4500321 5605663 8786341 9711219 15215371 16816989 26359023 32833169 45646113 61504387 98499507 106507597 184513161 229832183 319522791 623830211 689496549 1871490633 4366811477 13100434431