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13113443105451 = 321317223101166949
BaseRepresentation
bin1011111011010011011000…
…0111100011101010101011
31201102122002101201101101200
42332310312013203222223
53204322312413333301
643520122124015243
72522262226160223
oct276646607435253
951378071641350
1013113443105451
1141a641a8479a7
121579581691523
137417915c1310
143349a05d7083
1517b19db9dc86
hexbed361e3aab

13113443105451 has 144 divisors (see below), whose sum is σ = 22835346206400. Its totient is φ = 7192921190400.

The previous prime is 13113443105447. The next prime is 13113443105453. The reversal of 13113443105451 is 15450134431131.

It is a happy number.

13113443105451 is a `hidden beast` number, since 1 + 3 + 113 + 443 + 1 + 0 + 54 + 51 = 666.

It is not a de Polignac number, because 13113443105451 - 22 = 13113443105447 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13113443105453) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 78464125 + ... + 78631073.

It is an arithmetic number, because the mean of its divisors is an integer number (158578793100).

Almost surely, 213113443105451 is an apocalyptic number.

13113443105451 is a deficient number, since it is larger than the sum of its proper divisors (9721903100949).

13113443105451 is a wasteful number, since it uses less digits than its factorization.

13113443105451 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167126 (or 167106 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 13113443105451 its reverse (15450134431131), we get a palindrome (28563577536582).

The spelling of 13113443105451 in words is "thirteen trillion, one hundred thirteen billion, four hundred forty-three million, one hundred five thousand, four hundred fifty-one".

Divisors: 1 3 9 13 17 23 39 51 69 101 117 153 207 221 289 299 303 391 663 867 897 909 1173 1313 1717 1989 2323 2601 2691 3519 3757 3939 5083 5151 6647 6969 11271 11817 15249 15453 19941 20907 22321 29189 30199 33813 39491 45747 59823 66963 86411 87567 90597 118473 166949 200889 259233 262701 271791 355419 379457 500847 513383 671347 777699 1138371 1502541 1540149 2014041 2170337 2838133 3415113 3839827 4620447 6042123 6511011 8514399 8727511 11519481 16861849 19533033 25543197 26182533 34558443 36895729 48248261 49917751 50585547 65277059 78547599 110687187 144744783 149753253 151756641 195831177 219204037 286651433 332061561 387822527 434234349 449259759 587493531 627227393 657612111 848601767 859954299 1109710003 1163467581 1881682179 1972836333 2545805301 2579862897 3329130009 3490402743 3726468629 4873074361 5041692851 5645046537 6592982959 7637415903 9987390027 11179405887 14426230039 14619223083 15125078553 19778948877 33538217661 43278690117 43857669249 45375235659 59336846631 63349966693 85708778467 112080710303 129836070351 190049900079 257126335401 336242130909 570149700237 771379006203 1008726392727 1457049233939 4371147701817 13113443105451