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211020021003 = 31110797761169
BaseRepresentation
bin1100010010000111000…
…1011111110100001011
3202011200100101202101110
43010201301133310023
511424132111133003
6240535151221403
721150162404061
oct3044161376413
9664610352343
10211020021003
1181547334080
1234a92217863
1316b8c43666c
14a2db8c4031
155750b6aa03
hex3121c5fd0b

211020021003 has 32 divisors (see below), whose sum is σ = 310128963840. Its totient is φ = 126563932160.

The previous prime is 211020020999. The next prime is 211020021011. The reversal of 211020021003 is 300120020112.

211020021003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 211020021003 - 22 = 211020020999 is a prime.

It is a super-2 number, since 2×2110200210032 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211020021003.

It is not an unprimeable number, because it can be changed into a prime (211020021013) 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 31 ways as a sum of consecutive naturals, for example, 3419203 + ... + 3480371.

It is an arithmetic number, because the mean of its divisors is an integer number (9691530120).

Almost surely, 2211020021003 is an apocalyptic number.

211020021003 is a deficient number, since it is larger than the sum of its proper divisors (99108942837).

211020021003 is a wasteful number, since it uses less digits than its factorization.

211020021003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62267.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 211020021003 its reverse (300120020112), we get a palindrome (511140041115).

The spelling of 211020021003 in words is "two hundred eleven billion, twenty million, twenty-one thousand, three".

Divisors: 1 3 11 33 107 321 977 1177 2931 3531 10747 32241 61169 104539 183507 313617 672859 1149929 2018577 3449787 6545083 19635249 59762113 71995913 179286339 215987739 657383243 1972149729 6394546091 19183638273 70340007001 211020021003