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211320310212 = 223311891998641
BaseRepresentation
bin1100010011001110101…
…1000000100111000100
3202012110021110000202000
43010303223000213010
511430240444411322
6241025035345300
721160466666604
oct3046353004704
9665407400660
10211320310212
1181690895880
1234b568b2230
1316c09705c9b
14a329730c04
15576c1d53ac
hex3133ac09c4

211320310212 has 96 divisors (see below), whose sum is σ = 604389340800. Its totient is φ = 63316915200.

The previous prime is 211320310189. The next prime is 211320310237. The reversal of 211320310212 is 212013023112.

211320310212 is a `hidden beast` number, since 2 + 11 + 320 + 310 + 21 + 2 = 666.

It is a super-2 number, since 2×2113203102122 (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 31 ways as a sum of consecutive naturals, for example, 893589 + ... + 1105052.

It is an arithmetic number, because the mean of its divisors is an integer number (6295722300).

Almost surely, 2211320310212 is an apocalyptic number.

211320310212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211320310212 is an abundant number, since it is smaller than the sum of its proper divisors (393069030588).

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

211320310212 is a wasteful number, since it uses less digits than its factorization.

211320310212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998754 (or 1998746 counting only the distinct ones).

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

Adding to 211320310212 its reverse (212013023112), we get a palindrome (423333333324).

The spelling of 211320310212 in words is "two hundred eleven billion, three hundred twenty million, three hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 89 99 108 132 178 198 267 297 356 396 534 594 801 979 1068 1188 1602 1958 2403 2937 3204 3916 4806 5874 8811 9612 11748 17622 26433 35244 52866 105732 1998641 3997282 5995923 7994564 11991846 17987769 21985051 23983692 35975538 43970102 53963307 65955153 71951076 87940204 107926614 131910306 177879049 197865459 215853228 263820612 355758098 395730918 533637147 593596377 711516196 791461836 1067274294 1187192754 1600911441 1956669539 2134548588 2374385508 3201822882 3913339078 4802734323 5870008617 6403645764 7826678156 9605468646 11740017234 17610025851 19210937292 23480034468 35220051702 52830077553 70440103404 105660155106 211320310212