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212122222101 = 32197179221159
BaseRepresentation
bin1100010110001101111…
…0000011111000010101
3202021112011101101001100
43011203132003320111
511433411242101401
6241240403220313
721216405065256
oct3054336037025
9667464341040
10212122222101
1181a62512079
123513b377699
13170068a816a
14a3a4036b2d
1557b77d8b86
hex3163783e15

212122222101 has 48 divisors (see below), whose sum is σ = 331209216000. Its totient is φ = 130412449440.

The previous prime is 212122222079. The next prime is 212122222127. The reversal of 212122222101 is 101222221212.

It is a happy number.

212122222101 is a `hidden beast` number, since 21 + 212 + 222 + 210 + 1 = 666.

212122222101 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 212122222101 - 29 = 212122221589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212122222601) 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 47 ways as a sum of consecutive naturals, for example, 848560 + ... + 1069718.

It is an arithmetic number, because the mean of its divisors is an integer number (6900192000).

Almost surely, 2212122222101 is an apocalyptic number.

It is an amenable number.

212122222101 is a deficient number, since it is larger than the sum of its proper divisors (119086993899).

212122222101 is a wasteful number, since it uses less digits than its factorization.

212122222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221334 (or 221331 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212122222101 its reverse (101222221212), we get a palindrome (313344443313).

The spelling of 212122222101 in words is "two hundred twelve billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred one".

Divisors: 1 3 9 19 57 71 79 171 213 237 639 711 1349 1501 4047 4503 5609 12141 13509 16827 50481 106571 221159 319713 663477 959139 1990431 4202021 12606063 15702289 17471561 37818189 47106867 52414683 141320601 157244049 298343491 331959659 895030473 995878977 1240480831 2685091419 2987636931 3721442493 11164327479 23569135789 70707407367 212122222101