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12301312020021 = 32173789131186379
BaseRepresentation
bin1011001100000001111101…
…0101010100111000110101
31121112222211120210122122200
42303000133111110320311
53103021041334120041
642055051132215113
72406511656640203
oct263003725247065
947488746718580
1012301312020021
113a12a58a39172
1214680b060a499
136b30162a45ab
1430755b090073
15164eba8961b6
hexb301f554e35

12301312020021 has 96 divisors (see below), whose sum is σ = 19688616604800. Its totient is φ = 7368759889920.

The previous prime is 12301312019977. The next prime is 12301312020031. The reversal of 12301312020021 is 12002021310321.

12301312020021 is a `hidden beast` number, since 12 + 301 + 312 + 0 + 20 + 0 + 21 = 666.

12301312020021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12301312020021 - 26 = 12301312019957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12301312019976 and 12301312020003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12301312020031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65908410 + ... + 66094788.

It is an arithmetic number, because the mean of its divisors is an integer number (205089756300).

Almost surely, 212301312020021 is an apocalyptic number.

It is an amenable number.

12301312020021 is a deficient number, since it is larger than the sum of its proper divisors (7387304584779).

12301312020021 is a wasteful number, since it uses less digits than its factorization.

12301312020021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186659 (or 186656 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12301312020021 its reverse (12002021310321), we get a palindrome (24303333330342).

It can be divided in two parts, 123013120 and 20021, that added together give a triangular number (123033141 = T15686).

The spelling of 12301312020021 in words is "twelve trillion, three hundred one billion, three hundred twelve million, twenty thousand, twenty-one".

Divisors: 1 3 9 17 37 51 89 111 131 153 267 333 393 629 801 1179 1513 1887 2227 3293 4539 4847 5661 6681 9879 11659 13617 14541 20043 29637 34977 43623 55981 82399 104931 167943 186379 198203 247197 431383 503829 559137 594609 741591 1294149 1677411 1783827 3168443 3882447 6896023 7333511 9505329 16587731 20688069 22000533 24415649 28515987 49763193 62064207 66001599 73246947 117232391 149289579 219740841 281991427 351697173 415066033 613746047 845974281 903379013 1055091519 1245198099 1841238141 2172992761 2537922843 2710137039 3735594297 5523714423 6518978283 8130411117 10433682799 15357443221 19556934849 31301048397 36940876937 46072329663 80400732157 93903145191 110822630811 138216988989 241202196471 332467892433 723606589413 1366812446669 4100437340007 12301312020021