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13123233123120 = 2432555732723003
BaseRepresentation
bin1011111011110111110110…
…1001100000101100110000
31201110120100200100210220200
42332331331221200230300
53210002340134414440
643524421410035200
72523056644020621
oct276757551405460
951416320323820
1013123233123120
1141aa593a8109a
12157b454278b00
1374269193a993
1433524c8d9a48
1517b5733cec30
hexbef7da60b30

13123233123120 has 120 divisors (see below), whose sum is σ = 44151316808976. Its totient is φ = 3493245909504.

The previous prime is 13123233123079. The next prime is 13123233123199. The reversal of 13123233123120 is 2132133232131.

13123233123120 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 32 + 3 + 312 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15960462 + ... + 16762541.

Almost surely, 213123233123120 is an apocalyptic number.

13123233123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13123233123120 is an abundant number, since it is smaller than the sum of its proper divisors (31028083685856).

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

13123233123120 is a wasteful number, since it uses less digits than its factorization.

13123233123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32723579 (or 32723570 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13123233123120 its reverse (2132133232131), we get a palindrome (15255366355251).

The spelling of 13123233123120 in words is "thirteen trillion, one hundred twenty-three billion, two hundred thirty-three million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 557 720 1114 1671 2228 2785 3342 4456 5013 5570 6684 8355 8912 10026 11140 13368 16710 20052 22280 25065 26736 33420 40104 44560 50130 66840 80208 100260 133680 200520 401040 32723003 65446006 98169009 130892012 163615015 196338018 261784024 294507027 327230030 392676036 490845045 523568048 589014054 654460060 785352072 981690090 1178028108 1308920120 1472535135 1570704144 1963380180 2356056216 2617840240 2945070270 3926760360 4712112432 5890140540 7853520720 11780281080 18226712671 23560562160 36453425342 54680138013 72906850684 91133563355 109360276026 145813701368 164040414039 182267126710 218720552052 273400690065 291627402736 328080828078 364534253420 437441104104 546801380130 656161656156 729068506840 820202070195 874882208208 1093602760260 1312323312312 1458137013680 1640404140390 2187205520520 2624646624624 3280808280780 4374411041040 6561616561560 13123233123120