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211020010107 = 31716350949871
BaseRepresentation
bin1100010010000111000…
…1011101001001111011
3202011200100101012102220
43010201301131021323
511424132110310412
6240535151055123
721150162330234
oct3044161351173
9664610335386
10211020010107
1181547326975
1234a922114a3
1316b8c43170a
14a2db8c008b
155750b6768c
hex3121c5d27b

211020010107 has 32 divisors (see below), whose sum is σ = 300333173760. Its totient is φ = 131331248640.

The previous prime is 211020010093. The next prime is 211020010109. The reversal of 211020010107 is 701010020112.

211020010107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211020010107 - 212 = 211020006011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211020010109) 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, 4206382 + ... + 4256252.

It is an arithmetic number, because the mean of its divisors is an integer number (9385411680).

Almost surely, 2211020010107 is an apocalyptic number.

211020010107 is a deficient number, since it is larger than the sum of its proper divisors (89313163653).

211020010107 is a wasteful number, since it uses less digits than its factorization.

211020010107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50563.

The product of its (nonzero) digits is 28, while the sum is 15.

Adding to 211020010107 its reverse (701010020112), we get a palindrome (912030030219).

The spelling of 211020010107 in words is "two hundred eleven billion, twenty million, ten thousand, one hundred seven".

Divisors: 1 3 17 51 163 489 509 1527 2771 8313 8653 25959 49871 82967 149613 248901 847807 1410439 2543421 4231317 8128973 24386919 25384339 76153017 138192541 414577623 431533763 1294601289 4137647257 12412941771 70340003369 211020010107