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211132001322 = 2321137148719381
BaseRepresentation
bin1100010010100001110…
…0101010110000101010
3202011222011002221111200
43010220130222300222
511424344243020242
6240554231305030
721153022254234
oct3045034526052
9664864087450
10211132001322
11815a45685a0
1234b0381b176
1316ba96b31c8
14a30c713254
15575a8da04c
hex312872ac2a

211132001322 has 96 divisors (see below), whose sum is σ = 512897958144. Its totient is φ = 62205148800.

The previous prime is 211132001321. The next prime is 211132001371. The reversal of 211132001322 is 223100231112.

211132001322 is a `hidden beast` number, since 21 + 1 + 1 + 320 + 0 + 1 + 322 = 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 = 211132001295 and 211132001304.

It is not an unprimeable number, because it can be changed into a prime (211132001321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10884072 + ... + 10903452.

It is an arithmetic number, because the mean of its divisors is an integer number (5342687064).

Almost surely, 2211132001322 is an apocalyptic number.

211132001322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 211132001322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256448979072).

211132001322 is an abundant number, since it is smaller than the sum of its proper divisors (301765956822).

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

211132001322 is a wasteful number, since it uses less digits than its factorization.

211132001322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20924 (or 20921 counting only the distinct ones).

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

Adding to 211132001322 its reverse (223100231112), we get a palindrome (434232232434).

The spelling of 211132001322 in words is "two hundred eleven billion, one hundred thirty-two million, one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 1487 2442 2974 3663 4461 7326 8922 13383 16357 19381 26766 32714 38762 49071 55019 58143 98142 110038 116286 147213 165057 174429 213191 294426 330114 348858 426382 495171 605209 639573 717097 990342 1210418 1279146 1434194 1815627 1918719 2151291 3631254 3837438 4302582 5446881 6453873 7888067 10893762 12907746 15776134 23664201 28819547 47328402 57639094 70992603 86458641 141985206 172917282 259375923 317015017 518751846 634030034 951045051 1066323239 1902090102 2132646478 2853135153 3198969717 5706270306 6397939434 9596909151 11729555629 19193818302 23459111258 35188666887 70377333774 105566000661 211132001322