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211000111020 = 223251201976039
BaseRepresentation
bin1100010010000010010…
…1100010111110101100
3202011121221221020000200
43010200211202332230
511424112012023040
6240533200353500
721146531231346
oct3044045427654
9664557836020
10211000111020
1181537075446
1234a87615890
1316b882851ca
14a2d8dc0296
15574e036630
hex3120962fac

211000111020 has 72 divisors (see below), whose sum is σ = 640567243680. Its totient is φ = 56219788800.

The previous prime is 211000111009. The next prime is 211000111027. The reversal of 211000111020 is 20111000112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 211000110993 and 211000111011.

It is not an unprimeable number, because it can be changed into a prime (211000111027) 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 23 ways as a sum of consecutive naturals, for example, 271840 + ... + 704199.

Almost surely, 2211000111020 is an apocalyptic number.

211000111020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211000111020 is an abundant number, since it is smaller than the sum of its proper divisors (429567132660).

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

211000111020 is a wasteful number, since it uses less digits than its factorization.

211000111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977255 (or 977250 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 211000111020 its reverse (20111000112), we get a palindrome (231111111132).

The spelling of 211000111020 in words is "two hundred eleven billion, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1201 2402 3603 4804 6005 7206 10809 12010 14412 18015 21618 24020 36030 43236 54045 72060 108090 216180 976039 1952078 2928117 3904156 4880195 5856234 8784351 9760390 11712468 14640585 17568702 19520780 29281170 35137404 43921755 58562340 87843510 175687020 1172222839 2344445678 3516668517 4688891356 5861114195 7033337034 10550005551 11722228390 14066674068 17583342585 21100011102 23444456780 35166685170 42200022204 52750027755 70333370340 105500055510 211000111020