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213112312020 = 223257363125703
BaseRepresentation
bin1100011001111001111…
…0111101000011010100
3202101002011102011002100
43012132132331003110
511442423222441040
6241522532242100
721253056522636
oct3063636750324
9671064364070
10213112312020
1182420387303
1235376a70330
1317133a5569a
14a459724a56
1558246adb30
hex319e7bd0d4

213112312020 has 144 divisors (see below), whose sum is σ = 656360070912. Its totient is φ = 55960450560.

The previous prime is 213112312003. The next prime is 213112312081. The reversal of 213112312020 is 20213211312.

213112312020 is a `hidden beast` number, since 21 + 311 + 2 + 312 + 0 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 213112311984 and 213112312002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8278489 + ... + 8304191.

It is an arithmetic number, because the mean of its divisors is an integer number (4558056048).

Almost surely, 2213112312020 is an apocalyptic number.

213112312020 is a gapful number since it is divisible by the number (20) 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 213112312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328180035456).

213112312020 is an abundant number, since it is smaller than the sum of its proper divisors (443247758892).

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

213112312020 is a wasteful number, since it uses less digits than its factorization.

213112312020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26422 (or 26417 counting only the distinct ones).

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

Adding to 213112312020 its reverse (20213211312), we get a palindrome (233325523332).

The spelling of 213112312020 in words is "two hundred thirteen billion, one hundred twelve million, three hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 631 657 730 876 1095 1262 1314 1460 1893 2190 2524 2628 3155 3285 3786 4380 5679 6310 6570 7572 9465 11358 12620 13140 18930 22716 25703 28395 37860 46063 51406 56790 77109 92126 102812 113580 128515 138189 154218 184252 230315 231327 257030 276378 308436 385545 414567 460630 462654 514060 552756 690945 771090 829134 921260 925308 1156635 1381890 1542180 1658268 1876319 2072835 2313270 2763780 3752638 4145670 4626540 5628957 7505276 8291340 9381595 11257914 16218593 16886871 18763190 22515828 28144785 32437186 33773742 37526380 48655779 56289570 64874372 67547484 81092965 84434355 97311558 112579140 145967337 162185930 168868710 194623116 243278895 291934674 324371860 337737420 486557790 583869348 729836685 973115580 1183957289 1459673370 2367914578 2919346740 3551871867 4735829156 5919786445 7103743734 10655615601 11839572890 14207487468 17759359335 21311231202 23679145780 35518718670 42622462404 53278078005 71037437340 106556156010 213112312020