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123103324243242 = 232721795231490893
BaseRepresentation
bin11011111111011000111001…
…111010011000010100101010
3121010212120012022211201002100
4123333120321322120110222
5112113411102001240432
61113452515245314230
734633631064053100
oct3377307172302452
9533776168751070
10123103324243242
1136251910269152
12119822ba265976
13538c794389235
1422583386b3c70
15e372eed7507c
hex6ff639e9852a

123103324243242 has 144 divisors (see below), whose sum is σ = 312600754383840. Its totient is φ = 34908985710144.

The previous prime is 123103324243241. The next prime is 123103324243301. The reversal of 123103324243242 is 242342423301321.

123103324243242 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 0 + 3 + 324 + 2 + 4 + 324 + 2 = 666.

123103324243242 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 123103324243197 and 123103324243206.

It is not an unprimeable number, because it can be changed into a prime (123103324243241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81824748 + ... + 83315640.

It is an arithmetic number, because the mean of its divisors is an integer number (2170838572110).

Almost surely, 2123103324243242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123103324243242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156300377191920).

123103324243242 is an abundant number, since it is smaller than the sum of its proper divisors (189497430140598).

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

123103324243242 is a wasteful number, since it uses less digits than its factorization.

123103324243242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491617 (or 1491607 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 123103324243242 its reverse (242342423301321), we get a palindrome (365445747544563).

The spelling of 123103324243242 in words is "one hundred twenty-three trillion, one hundred three billion, three hundred twenty-four million, two hundred forty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 179 294 358 441 523 537 882 1046 1074 1253 1569 1611 2506 3138 3222 3661 3759 4707 7322 7518 8771 9414 10983 11277 17542 21966 22554 25627 26313 32949 51254 52626 65898 76881 78939 93617 153762 157878 187234 230643 280851 461286 561702 655319 842553 1310638 1490893 1685106 1965957 2981786 3931914 4472679 4587233 5897871 8945358 9174466 10436251 11795742 13418037 13761699 20872502 26836074 27523398 31308753 41285097 62617506 73053757 82570194 93926259 146107514 187852518 219161271 266869847 438322542 533739694 657483813 779737039 800609541 1314967626 1559474078 1601219082 1868088929 2339211117 2401828623 3736177858 4678422234 4803657246 5458159273 5604266787 7017633351 10916318546 11208533574 13076622503 14035266702 16374477819 16812800361 26153245006 32748955638 33625600722 38207114911 39229867509 49123433457 76414229822 78459735018 98246866914 114621344733 117689602527 139572929981 229242689466 235379205054 279145859962 343864034199 418718789943 687728068398 837437579886 977010509867 1256156369829 1954021019734 2512312739658 2931031529601 5862063059202 6839073569069 8793094588803 13678147138138 17586189177606 20517220707207 41034441414414 61551662121621 123103324243242