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20230120221332 = 2274389559133767
BaseRepresentation
bin1001001100110001100010…
…01000010010101010010100
32122121222110212020222012012
410212120301020102222110
510122422241234040312
6111005331113043352
74155402144440150
oct446306110225224
978558425228165
1020230120221332
11649a60051533a
1223288963b6558
13b398cc86b888
144dd200720060
15251372780322
hex126631212a94

20230120221332 has 96 divisors (see below), whose sum is σ = 41875086274560. Its totient is φ = 8371526042880.

The previous prime is 20230120221323. The next prime is 20230120221373. The reversal of 20230120221332 is 23312202103202.

It is a junction number, because it is equal to n+sod(n) for n = 20230120221298 and 20230120221307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 599092313 + ... + 599126079.

It is an arithmetic number, because the mean of its divisors is an integer number (436198815360).

Almost surely, 220230120221332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20230120221332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20937543137280).

20230120221332 is an abundant number, since it is smaller than the sum of its proper divisors (21644966053228).

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

20230120221332 is a wasteful number, since it uses less digits than its factorization.

20230120221332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39501 (or 39499 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 20230120221332 its reverse (23312202103202), we get a palindrome (43542322324534).

The spelling of 20230120221332 in words is "twenty trillion, two hundred thirty billion, one hundred twenty million, two hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 43 86 89 172 178 301 356 602 623 1204 1246 2492 3827 5591 7654 11182 15308 22364 26789 33767 39137 53578 67534 78274 107156 135068 156548 236369 240413 472738 480826 497599 945476 961652 995198 1451981 1682891 1990396 2903962 3005263 3365782 3483193 5807924 6010526 6731564 6966386 10163867 12021052 13932772 20327734 21036841 21396757 40655468 42073682 42793514 84147364 85587028 129226309 149777299 188791297 258452618 299554598 377582594 516905236 599109196 755165188 904584163 1321539079 1809168326 2643078158 3618336652 5286156316 8118025771 16236051542 16802425433 32472103084 33604850866 56826180397 67209701732 113652360794 117616978031 227304721588 235233956062 470467912124 722504293619 1445008587238 2890017174476 5057530055333 10115060110666 20230120221332