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12134003203032 = 23317193834086877
BaseRepresentation
bin1011000010010010101011…
…1100110101101111011000
31120221222222112202010121020
42300210222330311233120
53042300414304444112
641450141211442440
72361436624313514
oct260445274655730
946858875663536
1012134003203032
113959002525697
12143b799156420
136a0301a679b9
142dd4089d3144
1516097743d48c
hexb092af35bd8

12134003203032 has 128 divisors (see below), whose sum is σ = 33898200883200. Its totient is φ = 3596974000128.

The previous prime is 12134003202977. The next prime is 12134003203067. The reversal of 12134003203032 is 23030230043121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12134003202993 and 12134003203011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 925578 + ... + 5012454.

It is an arithmetic number, because the mean of its divisors is an integer number (264829694400).

Almost surely, 212134003203032 is an apocalyptic number.

12134003203032 is a gapful number since it is divisible by the number (12) 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 12134003203032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16949100441600).

12134003203032 is an abundant number, since it is smaller than the sum of its proper divisors (21764197680168).

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

12134003203032 is a wasteful number, since it uses less digits than its factorization.

12134003203032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4087305 (or 4087301 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 12134003203032 its reverse (23030230043121), we get a palindrome (35164233246153).

The spelling of 12134003203032 in words is "twelve trillion, one hundred thirty-four billion, three million, two hundred three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 204 228 323 383 408 456 646 766 969 1149 1292 1532 1938 2298 2584 3064 3876 4596 6511 7277 7752 9192 13022 14554 19533 21831 26044 29108 39066 43662 52088 58216 78132 87324 123709 156264 174648 247418 371127 494836 742254 989672 1484508 2969016 4086877 8173754 12260631 16347508 24521262 32695016 49042524 69476909 77650663 98085048 138953818 155301326 208430727 232951989 277907636 310602652 416861454 465903978 555815272 621205304 833722908 931807956 1320061271 1565273891 1667445816 1863615912 2640122542 3130547782 3960183813 4695821673 5280245084 6261095564 7920367626 9391643346 10560490168 12522191128 15840735252 18783286692 26609656147 29740203929 31681470504 37566573384 53219312294 59480407858 79828968441 89220611787 106438624588 118960815716 159657936882 178441223574 212877249176 237921631432 319315873764 356882447148 505583466793 638631747528 713764894296 1011166933586 1516750400379 2022333867172 3033500800758 4044667734344 6067001601516 12134003203032