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211111201020 = 22355096912613
BaseRepresentation
bin1100010010011100110…
…1010100100011111100
3202011220200222011212010
43010213031110203330
511424323431413040
6240552205411220
721152350413036
oct3044715244374
9664820864763
10211111201020
1181593850a65
1234ab8869b10
1316ba52ac735
14a309a5ac56
155758b7be80
hex31273548fc

211111201020 has 48 divisors (see below), whose sum is σ = 592272767520. Its totient is φ = 56185710336.

The previous prime is 211111201019. The next prime is 211111201027. The reversal of 211111201020 is 20102111112.

211111201020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2111112010202 (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 a junction number, because it is equal to n+sod(n) for n = 211111200987 and 211111201005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211111201027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3425767 + ... + 3486846.

It is an arithmetic number, because the mean of its divisors is an integer number (12339015990).

Almost surely, 2211111201020 is an apocalyptic number.

211111201020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211111201020 is an abundant number, since it is smaller than the sum of its proper divisors (381161566500).

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

211111201020 is a wasteful number, since it uses less digits than its factorization.

211111201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6913134 (or 6913132 counting only the distinct ones).

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

Adding to 211111201020 its reverse (20102111112), we get a palindrome (231213312132).

The spelling of 211111201020 in words is "two hundred eleven billion, one hundred eleven million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 509 1018 1527 2036 2545 3054 5090 6108 7635 10180 15270 30540 6912613 13825226 20737839 27650452 34563065 41475678 69126130 82951356 103689195 138252260 207378390 414756780 3518520017 7037040034 10555560051 14074080068 17592600085 21111120102 35185200170 42222240204 52777800255 70370400340 105555600510 211111201020