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211003020 = 223255871997
BaseRepresentation
bin11001001001110…
…10011010001100
3112201001001201200
430210322122030
5413004044040
632534305500
75141332104
oct1444723214
9481031650
10211003020
11a9118768
125a7b8290
133493a577
1420048204
15137ce630
hexc93a68c

211003020 has 72 divisors (see below), whose sum is σ = 641453904. Its totient is φ = 56143488.

The previous prime is 211002949. The next prime is 211003027. The reversal of 211003020 is 20300112.

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 = 211002993 and 211003011.

It is not an unprimeable number, because it can be changed into a prime (211003027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104662 + ... + 106658.

It is an arithmetic number, because the mean of its divisors is an integer number (8909082).

Almost surely, 2211003020 is an apocalyptic number.

211003020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211003020 is an abundant number, since it is smaller than the sum of its proper divisors (430450884).

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

211003020 is a wasteful number, since it uses less digits than its factorization.

211003020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 211003020 is about 14525.9429986490. The cubic root of 211003020 is about 595.3370215993.

Adding to 211003020 its reverse (20300112), we get a palindrome (231303132).

The spelling of 211003020 in words is "two hundred eleven million, three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 587 1174 1761 1997 2348 2935 3522 3994 5283 5870 5991 7044 7988 8805 9985 10566 11740 11982 17610 17973 19970 21132 23964 26415 29955 35220 35946 39940 52830 59910 71892 89865 105660 119820 179730 359460 1172239 2344478 3516717 4688956 5861195 7033434 10550151 11722390 14066868 17583585 21100302 23444780 35167170 42200604 52750755 70334340 105501510 211003020