Search a number
-
+
211111221000 = 2335370370407
BaseRepresentation
bin1100010010011100110…
…1011001011100001000
3202011220201000012021010
43010213031121130020
511424323433033000
6240552210043520
721152350525221
oct3044715313410
9664821005233
10211111221000
1181593864a79
1234ab88795a0
1316ba52b8864
14a309a64248
155758b82d50
hex3127359708

211111221000 has 64 divisors (see below), whose sum is σ = 658667018880. Its totient is φ = 56296324800.

The previous prime is 211111220981. The next prime is 211111221001. The reversal of 211111221000 is 122111112.

It is a super-2 number, since 2×2111112210002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (211111221001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 35182204 + ... + 35188203.

It is an arithmetic number, because the mean of its divisors is an integer number (10291672170).

Almost surely, 2211111221000 is an apocalyptic number.

211111221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211111221000 is an abundant number, since it is smaller than the sum of its proper divisors (447555797880).

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

211111221000 is a wasteful number, since it uses less digits than its factorization.

211111221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70370431 (or 70370417 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211111221000 its reverse (122111112), we get a palindrome (211233332112).

The spelling of 211111221000 in words is "two hundred eleven billion, one hundred eleven million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 70370407 140740814 211111221 281481628 351852035 422222442 562963256 703704070 844444884 1055556105 1407408140 1688889768 1759260175 2111112210 2814816280 3518520350 4222224420 5277780525 7037040700 8444448840 8796300875 10555561050 14074081400 17592601750 21111122100 26388902625 35185203500 42222244200 52777805250 70370407000 105555610500 211111221000