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13123410111004 = 221925731111511877
BaseRepresentation
bin1011111011111000100000…
…1100101010101000011100
31201110120211000101201122111
42332332020030222220130
53210003220442023004
643524451131323404
72523064223262364
oct276761014525034
951416730351574
1013123410111004
1141aa674976776
12157b4a35b0564
137426bc4c883b
1433526820b9a4
1517b583be0a04
hexbef8832aa1c

13123410111004 has 96 divisors (see below), whose sum is σ = 24380937584640. Its totient is φ = 6163605504000.

The previous prime is 13123410110977. The next prime is 13123410111047. The reversal of 13123410111004 is 40011101432131.

13123410111004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×131234101110043 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

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, 6991693314 + ... + 6991695190.

It is an arithmetic number, because the mean of its divisors is an integer number (253968099840).

Almost surely, 213123410111004 is an apocalyptic number.

It is an amenable number.

13123410111004 is a deficient number, since it is larger than the sum of its proper divisors (11257527473636).

13123410111004 is a wasteful number, since it uses less digits than its factorization.

13123410111004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3619 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 13123410111004 its reverse (40011101432131), we get a palindrome (53134511543135).

The spelling of 13123410111004 in words is "thirteen trillion, one hundred twenty-three billion, four hundred ten million, one hundred eleven thousand, four".

Divisors: 1 2 4 19 38 76 257 311 514 622 1028 1151 1244 1877 2302 3754 4604 4883 5909 7508 9766 11818 19532 21869 23636 35663 43738 71326 79927 87476 142652 159854 295807 319708 357961 482389 583747 591614 715922 964778 1167494 1183228 1431844 1518613 1929556 2160427 2334988 3037226 4320854 5620333 6074452 6801259 8641708 9165391 11091193 11240666 13602518 18330782 22182386 22481332 27205036 36661564 41048113 44364772 82096226 91995977 150022979 164192452 183991954 300045958 367983908 555229739 600091916 671892797 1110459478 1343785594 1747923563 2220918956 2687571188 2850436601 3495847126 5700873202 6991694252 10549365041 11401746404 12765963143 21098730082 25531926286 42197460164 51063852572 172676448829 345352897658 690705795316 3280852527751 6561705055502 13123410111004