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232020210010212 = 2232132269141769997
BaseRepresentation
bin110100110000010101101010…
…001100101100100001100100
31010102111220201100212120010100
4310300111222030230201210
5220402404342230311322
62141244340224224100
766604623045534501
oct6460255214544144
91112456640776110
10232020210010212
1167a24244883a68
12220330a2a6b030
139c60547cba800
144141ba39b24a8
151bc55a1246dac
hexd3056a32c864

232020210010212 has 108 divisors (see below), whose sum is σ = 637441859707380. Its totient is φ = 71125439913216.

The previous prime is 232020210010153. The next prime is 232020210010223. The reversal of 232020210010212 is 212010012020232.

232020210010212 is a `hidden beast` number, since 2 + 320 + 20 + 2 + 100 + 10 + 212 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 16735430082816 + 215284779927396 = 4090896^2 + 14672586^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69248403 + ... + 72521594.

It is an arithmetic number, because the mean of its divisors is an integer number (5902239441735).

Almost surely, 2232020210010212 is an apocalyptic number.

It is an amenable number.

232020210010212 is an abundant number, since it is smaller than the sum of its proper divisors (405421649697168).

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

232020210010212 is a wasteful number, since it uses less digits than its factorization.

232020210010212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141770302 (or 141770284 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 232020210010212 its reverse (212010012020232), we get a palindrome (444030222030444).

The spelling of 232020210010212 in words is "two hundred thirty-two trillion, twenty billion, two hundred ten million, ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 269 338 468 507 538 676 807 1014 1076 1521 1614 2028 2421 3042 3228 3497 4842 6084 6994 9684 10491 13988 20982 31473 41964 45461 62946 90922 125892 136383 181844 272766 409149 545532 818298 1636596 141769997 283539994 425309991 567079988 850619982 1275929973 1701239964 1843009961 2551859946 3686019922 5103719892 5529029883 7372039844 11058059766 16587089649 22116119532 23959129493 33174179298 38136129193 47918258986 66348358596 71877388479 76272258386 95836517972 114408387579 143754776958 152544516772 215632165437 228816775158 287509553916 343225162737 431264330874 457633550316 495769679509 686450325474 862528661748 991539359018 1372900650948 1487309038527 1983078718036 2974618077054 4461927115581 5949236154108 6445005833617 8923854231162 12890011667234 17847708462324 19335017500851 25780023334468 38670035001702 58005052502553 77340070003404 116010105005106 232020210010212