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213112312200 = 2335524385027
BaseRepresentation
bin1100011001111001111…
…0111101000110001000
3202101002011102011100000
43012132132331012020
511442423222442300
6241522532243000
721253056523314
oct3063636750610
9671064364300
10213112312200
1182420387457
1235376a70460
1317133a557a8
14a459724b44
1558246adc00
hex319e7bd188

213112312200 has 144 divisors (see below), whose sum is σ = 742209839280. Its totient is φ = 56829936960.

The previous prime is 213112312199. The next prime is 213112312211. The reversal of 213112312200 is 2213211312.

213112312200 is a `hidden beast` number, since 21 + 311 + 2 + 312 + 20 + 0 = 666.

It is a super-2 number, since 2×2131123122002 (a number of 23 digits) contains 22 as substring.

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, 2143914 + ... + 2241113.

It is an arithmetic number, because the mean of its divisors is an integer number (5154234995).

Almost surely, 2213112312200 is an apocalyptic number.

213112312200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213112312200 is an abundant number, since it is smaller than the sum of its proper divisors (529097527080).

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

213112312200 is a wasteful number, since it uses less digits than its factorization.

213112312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4385058 (or 4385037 counting only the distinct ones).

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

Adding to 213112312200 its reverse (2213211312), we get a palindrome (215325523512).

The spelling of 213112312200 in words is "two hundred thirteen billion, one hundred twelve million, three hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 243 270 300 324 360 405 450 486 540 600 648 675 810 900 972 1080 1215 1350 1620 1800 1944 2025 2430 2700 3240 4050 4860 5400 6075 8100 9720 12150 16200 24300 48600 4385027 8770054 13155081 17540108 21925135 26310162 35080216 39465243 43850270 52620324 65775405 78930486 87700540 105240648 109625675 118395729 131550810 157860972 175401080 197326215 219251350 236791458 263101620 315721944 328877025 355187187 394652430 438502700 473582916 526203240 591978645 657754050 710374374 789304860 877005400 947165832 986631075 1065561561 1183957290 1315508100 1420748748 1578609720 1775935935 1973262150 2131123122 2367914580 2631016200 2841497496 2959893225 3551871870 3946524300 4262246244 4735829160 5327807805 5919786450 7103743740 7893048600 8524492488 8879679675 10655615610 11839572900 14207487480 17759359350 21311231220 23679145800 26639039025 35518718700 42622462440 53278078050 71037437400 106556156100 213112312200