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211020122100 = 223524316358149
BaseRepresentation
bin1100010010000111000…
…1111000011111110100
3202011200100120220001210
43010201301320133310
511424132122401400
6240535153321420
721150163304604
oct3044161703764
9664610526053
10211020122100
11815473a3027
1234a92266270
1316b8c470698
14a2db90cc04
155750b8a950
hex3121c787f4

211020122100 has 72 divisors (see below), whose sum is σ = 624750464800. Its totient is φ = 54963377280.

The previous prime is 211020122083. The next prime is 211020122113. The reversal of 211020122100 is 1221020112.

211020122100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8166175 + ... + 8191974.

Almost surely, 2211020122100 is an apocalyptic number.

211020122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211020122100 is an abundant number, since it is smaller than the sum of its proper divisors (413730342700).

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

211020122100 is a wasteful number, since it uses less digits than its factorization.

211020122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16358209 (or 16358202 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211020122100 its reverse (1221020112), we get a palindrome (212241142212).

The spelling of 211020122100 in words is "two hundred eleven billion, twenty million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1075 1290 2150 2580 3225 4300 6450 12900 16358149 32716298 49074447 65432596 81790745 98148894 163581490 196297788 245372235 327162980 408953725 490744470 703400407 817907450 981488940 1226861175 1406800814 1635814900 2110201221 2453722350 2813601628 3517002035 4220402442 4907444700 7034004070 8440804884 10551006105 14068008140 17585010175 21102012210 35170020350 42204024420 52755030525 70340040700 105510061050 211020122100