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212112222101101 = 761712181154413
BaseRepresentation
bin110000001110101000111001…
…101001101001111001101101
31000211000201201110101120101201
4300032220321221221321231
5210300221312324213401
62031043002024405501
762451413412416410
oct6016507151517155
91024021643346351
10212112222101101
1161649319692753
121b95892a016891
13914813464788a
143a54401977b77
15197c7d41dcb01
hexc0ea39a69e6d

212112222101101 has 48 divisors (see below), whose sum is σ = 250049686760064. Its totient is φ = 176210650224000.

The previous prime is 212112222101089. The next prime is 212112222101159. The reversal of 212112222101101 is 101101222211212.

It is a happy number.

It is not a de Polignac number, because 212112222101101 - 29 = 212112222100589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112222101201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3898162971 + ... + 3898217383.

It is an arithmetic number, because the mean of its divisors is an integer number (5209368474168).

Almost surely, 2212112222101101 is an apocalyptic number.

It is an amenable number.

212112222101101 is a deficient number, since it is larger than the sum of its proper divisors (37937464658963).

212112222101101 is an equidigital number, since it uses as much as digits as its factorization.

212112222101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56434 (or 56363 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 212112222101101 its reverse (101101222211212), we get a palindrome (313213444312313).

The spelling of 212112222101101 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred twenty-two million, one hundred one thousand, one hundred one".

Divisors: 1 7 61 71 427 497 1811 4331 5041 12677 30317 35287 54413 110471 128581 307501 380891 773297 900067 2152507 3319193 3863323 7843441 9129251 23234351 27043261 54904087 63904757 98541943 235662703 274295933 556884311 689793601 1649638921 1920071531 3898190177 6011058523 6996477953 16732051913 42077409661 48975345671 117124363391 426785155133 496749934663 2987496085931 3477249542641 30301746014443 212112222101101