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123105105533344 = 2511438133265429
BaseRepresentation
bin11011111111011010100100…
…000101011101100110100000
3121010212201210110122121201211
4123333122210011131212200
5112113423224004031334
61113453412120435504
734634023163553514
oct3377324405354640
9533781713577654
10123105105533344
1136252644803830
1211982716918b94
13538c9b942814c
1422584670ba144
15e373a6434a64
hex6ff6a415d9a0

123105105533344 has 48 divisors (see below), whose sum is σ = 270544941263520. Its totient is φ = 54655543676160.

The previous prime is 123105105533327. The next prime is 123105105533369. The reversal of 123105105533344 is 443335501501321.

It is a junction number, because it is equal to n+sod(n) for n = 123105105533297 and 123105105533306.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4066617579 + ... + 4066647850.

It is an arithmetic number, because the mean of its divisors is an integer number (5636352942990).

Almost surely, 2123105105533344 is an apocalyptic number.

It is an amenable number.

123105105533344 is an abundant number, since it is smaller than the sum of its proper divisors (147439835730176).

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

123105105533344 is a wasteful number, since it uses less digits than its factorization.

123105105533344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8133265493 (or 8133265485 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 40.

The spelling of 123105105533344 in words is "one hundred twenty-three trillion, one hundred five billion, one hundred five million, five hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 172 176 344 352 473 688 946 1376 1892 3784 7568 15136 8133265429 16266530858 32533061716 65066123432 89465919719 130132246864 178931839438 260264493728 349730413447 357863678876 699460826894 715727357752 1398921653788 1431454715504 2797843307576 2862909431008 3847034547917 5595686615152 7694069095834 11191373230304 15388138191668 30776276383336 61552552766672 123105105533344