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211310332020 = 223252351041143
BaseRepresentation
bin1100010011001100010…
…0111100100001110100
3202012102120200002020100
43010303010330201310
511430230421111040
6241024041434100
721160316120634
oct3046304744164
9665376602210
10211310332020
11816861a0037
1234b5349b930
1316c07621328
14a3282946c4
15576b3b3b30
hex313313c874

211310332020 has 72 divisors (see below), whose sum is σ = 668843150976. Its totient is φ = 53899445952.

The previous prime is 211310332003. The next prime is 211310332031. The reversal of 211310332020 is 20233013112.

211310332020 is a `hidden beast` number, since 2 + 1 + 1 + 310 + 332 + 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 = 211310331984 and 211310332002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25516432 + ... + 25524711.

It is an arithmetic number, because the mean of its divisors is an integer number (9289488208).

Almost surely, 2211310332020 is an apocalyptic number.

211310332020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211310332020 is an abundant number, since it is smaller than the sum of its proper divisors (457532818956).

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

211310332020 is a wasteful number, since it uses less digits than its factorization.

211310332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51041181 (or 51041176 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 211310332020 its reverse (20233013112), we get a palindrome (231543345132).

The spelling of 211310332020 in words is "two hundred eleven billion, three hundred ten million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 51041143 102082286 153123429 204164572 255205715 306246858 459370287 510411430 612493716 765617145 918740574 1020822860 1173946289 1531234290 1837481148 2296851435 2347892578 3062468580 3521838867 4593702870 4695785156 5869731445 7043677734 9187405740 10565516601 11739462890 14087355468 17609194335 21131033202 23478925780 35218388670 42262066404 52827583005 70436777340 105655166010 211310332020