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4233230334102 = 23721121069111317
BaseRepresentation
bin111101100110100000001…
…100001011100010010110
3112222200201002201021010110
4331212200030023202112
51023324123431142402
613000415201303450
7614561252065500
oct75464014134226
915880632637113
104233230334102
111392337188700
12584518334b86
1324926580c5a3
14108c648acd70
15751b194956c
hex3d9a030b896

4233230334102 has 144 divisors (see below), whose sum is σ = 10835698572720. Its totient is φ = 1098501909120.

The previous prime is 4233230334077. The next prime is 4233230334103. The reversal of 4233230334102 is 2014330323324.

It is a super-2 number, since 2×42332303341022 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4233230334102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4233230334103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37972948 + ... + 38084264.

It is an arithmetic number, because the mean of its divisors is an integer number (75247906755).

Almost surely, 24233230334102 is an apocalyptic number.

4233230334102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4233230334102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5417849286360).

4233230334102 is an abundant number, since it is smaller than the sum of its proper divisors (6602468238618).

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

4233230334102 is a wasteful number, since it uses less digits than its factorization.

4233230334102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112427 (or 112409 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 4233230334102 its reverse (2014330323324), we get a palindrome (6247560657426).

The spelling of 4233230334102 in words is "four trillion, two hundred thirty-three billion, two hundred thirty million, three hundred thirty-four thousand, one hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 121 147 154 231 242 294 363 462 539 726 847 1069 1078 1617 1694 2138 2541 3207 3234 5082 5929 6414 7483 11759 11858 14966 17787 22449 23518 35277 35574 44898 52381 70554 82313 104762 111317 129349 157143 164626 222634 246939 258698 314286 333951 388047 493878 576191 667902 776094 779219 905443 1152382 1224487 1558438 1728573 1810886 2337657 2448974 2716329 3457146 3673461 4675314 5432658 5454533 6338101 7346922 8571409 10909066 12676202 13469357 16363599 17142818 19014303 25714227 26938714 32727198 38028606 40408071 51428454 59999863 80816142 94285499 118997873 119999726 179999589 188570998 237995746 282856497 356993619 359999178 565712994 659998493 713987238 832985111 1308976603 1319996986 1665970222 1979995479 2498955333 2617953206 3926929809 3959990958 4997910666 5830895777 7853859618 9162836221 11661791554 14398742633 17492687331 18325672442 27488508663 28797485266 34985374662 43196227899 54977017326 64139853547 86392455798 100791198431 128279707094 192419560641 201582396862 302373595293 384839121282 604747190586 705538389017 1411076778034 2116615167051 4233230334102