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212021221112211 = 37374361104030341
BaseRepresentation
bin110000001101010100001001…
…100100011011100110010011
31000210201000211102222100122210
4300031110021210123212103
5210242223430101042321
62030533112045403203
762442012336653040
oct6015241144334623
91023630742870583
10212021221112211
1161613770a32915
121b943171b69503
13913c6913302a4
143a4dc4bb521c7
15197a25a036b76
hexc0d50991b993

212021221112211 has 64 divisors (see below), whose sum is σ = 345094443938816. Its totient is φ = 113251589337600.

The previous prime is 212021221112167. The next prime is 212021221112213. The reversal of 212021221112211 is 112211122120212.

It is not a de Polignac number, because 212021221112211 - 27 = 212021221112083 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212021221112213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49977100 + ... + 54053241.

It is an arithmetic number, because the mean of its divisors is an integer number (5392100686544).

Almost surely, 2212021221112211 is an apocalyptic number.

212021221112211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212021221112211 is a deficient number, since it is larger than the sum of its proper divisors (133073222826605).

212021221112211 is a wasteful number, since it uses less digits than its factorization.

212021221112211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104030492.

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 212021221112211 its reverse (112211122120212), we get a palindrome (324232343232423).

The spelling of 212021221112211 in words is "two hundred twelve trillion, twenty-one billion, two hundred twenty-one million, one hundred twelve thousand, two hundred eleven".

Divisors: 1 3 7 21 37 43 61 111 129 183 259 301 427 777 903 1281 1591 2257 2623 4773 6771 7869 11137 15799 18361 33411 47397 55083 97051 291153 679357 2038071 104030341 312091023 728212387 2184637161 3849122617 4473304663 6345850801 11547367851 13419913989 19037552403 26943858319 31313132641 44420955607 80831574957 93939397923 133262866821 165512272531 234796479637 272871584443 496536817593 704389438911 818614753329 1158585907717 1643575357459 1910101091101 3475757723151 4930726072377 5730303273303 10096248624391 30288745873173 70673740370737 212021221112211