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211131300030021 = 3272666439718379
BaseRepresentation
bin110000000000010111010110…
…001000111010011001000101
31000200112221210022110100102200
4300000113112020322121011
5210133133400301430041
62025012214044225113
762320506302402400
oct6000272610723105
91020487708410380
10211131300030021
116130031075a168
121b81a7b123b199
1390a6799a03297
143a1cb49192d37
1519620227a61b6
hexc005d623a645

211131300030021 has 36 divisors (see below), whose sum is σ = 354759060895200. Its totient is φ = 120646108186128.

The previous prime is 211131300029987. The next prime is 211131300030073. The reversal of 211131300030021 is 120030003131112.

211131300030021 is a `hidden beast` number, since 2 + 1 + 11 + 31 + 300 + 0 + 300 + 21 = 666.

It is not a de Polignac number, because 211131300030021 - 27 = 211131300029893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211131300029976 and 211131300030003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211131300030821) 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 35 ways as a sum of consecutive naturals, for example, 293540410 + ... + 294258788.

It is an arithmetic number, because the mean of its divisors is an integer number (9854418358200).

Almost surely, 2211131300030021 is an apocalyptic number.

211131300030021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211131300030021 is a deficient number, since it is larger than the sum of its proper divisors (143627760865179).

211131300030021 is a wasteful number, since it uses less digits than its factorization.

211131300030021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384838 (or 1384828 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 211131300030021 its reverse (120030003131112), we get a palindrome (331161303161133).

The spelling of 211131300030021 in words is "two hundred eleven trillion, one hundred thirty-one billion, three hundred million, thirty thousand, twenty-one".

Divisors: 1 3 7 9 21 49 63 147 441 666439 718379 1999317 2155137 4665073 5028653 5997951 6465411 13995219 15085959 32655511 35200571 41985657 45257877 97966533 105601713 293899599 316805139 478755782381 1436267347143 3351290476667 4308802041429 10053871430001 23459033336669 30161614290003 70377100010007 211131300030021