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212022112101 = 33171113284159
BaseRepresentation
bin1100010101110110000…
…0001010111101100101
3202021021012000020221120
43011131200022331211
511433210130041401
6241222425404153
721214051134342
oct3053540127545
9667235006846
10212022112101
1181a10a55a38
1235111939659
1316cbbc26587
14a394a177c9
1557adb11836
hex315d80af65

212022112101 has 32 divisors (see below), whose sum is σ = 298545315840. Its totient is φ = 133667923200.

The previous prime is 212022112079. The next prime is 212022112111. The reversal of 212022112101 is 101211220212.

212022112101 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 212022112101 - 214 = 212022095717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212022112111) 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 31 ways as a sum of consecutive naturals, for example, 604060 + ... + 888218.

It is an arithmetic number, because the mean of its divisors is an integer number (9329541120).

Almost surely, 2212022112101 is an apocalyptic number.

It is an amenable number.

212022112101 is a deficient number, since it is larger than the sum of its proper divisors (86523203739).

212022112101 is a wasteful number, since it uses less digits than its factorization.

212022112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284377.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212022112101 its reverse (101211220212), we get a palindrome (313233332313).

The spelling of 212022112101 in words is "two hundred twelve billion, twenty-two million, one hundred twelve thousand, one hundred one".

Divisors: 1 3 31 71 93 113 213 339 2201 3503 6603 8023 10509 24069 248713 284159 746139 852477 8808929 20175289 26426787 32109967 60525867 96329901 625433959 995408977 1876301877 2279807657 2986226931 6839422971 70674037367 212022112101