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13123255424104 = 237738997371851
BaseRepresentation
bin1011111011110111111011…
…1110100101010001101000
31201110120102020022211010001
42332331332332211101220
53210002411342032404
643524423524032344
72523060334412230
oct276757676452150
951416366284101
1013123255424104
1141aa5a5623161
12157b45b8326b4
13742696448527
14335251862cc0
1517b5753377a4
hexbef7efa5468

13123255424104 has 128 divisors (see below), whose sum is σ = 29124043603200. Its totient is φ = 5428319846400.

The previous prime is 13123255424063. The next prime is 13123255424117. The reversal of 13123255424104 is 40142455232131.

It is a super-3 number, since 3×131232554241043 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35105779 + ... + 35477629.

It is an arithmetic number, because the mean of its divisors is an integer number (227531590650).

Almost surely, 213123255424104 is an apocalyptic number.

13123255424104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13123255424104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14562021801600).

13123255424104 is an abundant number, since it is smaller than the sum of its proper divisors (16000788179096).

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

13123255424104 is a wasteful number, since it uses less digits than its factorization.

13123255424104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372123 (or 372119 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 13123255424104 in words is "thirteen trillion, one hundred twenty-three billion, two hundred fifty-five million, four hundred twenty-four thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 56 73 89 97 146 178 194 292 356 388 511 584 623 679 712 776 1022 1246 1358 2044 2492 2716 4088 4984 5432 6497 7081 8633 12994 14162 17266 25988 28324 34532 45479 49567 51976 56648 60431 69064 90958 99134 120862 181916 198268 241724 363832 371851 396536 483448 630209 743702 1260418 1487404 2520836 2602957 2974808 4411463 5041672 5205914 8822926 10411828 17645852 20823656 27145123 33094739 35291704 36069547 54290246 66189478 72139094 108580492 132378956 144278188 190015861 217160984 231663173 252486829 264757912 288556376 380031722 463326346 504973658 760063444 926652692 1009947316 1520126888 1853305384 2019894632 2415915947 2633076931 3210189683 4831831894 5266153862 6420379366 9663663788 10532307724 12840758732 16911411629 18431538517 19327327576 21064615448 22471327781 25681517464 33822823258 36863077034 44942655562 67645646516 73726154068 89885311124 135291293032 147452308136 179770622248 234343846859 468687693718 937375387436 1640406928013 1874750774872 3280813856026 6561627712052 13123255424104