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212210222020101 = 32411972919266257
BaseRepresentation
bin110000010000000100001010…
…111001101011011000000101
31000211101002200020112021022100
4300100010022321223120011
5210303323013314120401
62031200010303022313
762461453062115104
oct6020041271533005
91024332606467270
10212210222020101
1161686939026348
121b973919b9a999
139154451982126
143a5905b11c03b
15198011ca4ab86
hexc1010ae6b605

212210222020101 has 24 divisors (see below), whose sum is σ = 315596036619864. Its totient is φ = 137322284682240.

The previous prime is 212210222020087. The next prime is 212210222020169. The reversal of 212210222020101 is 101020222012212.

It is a happy number.

212210222020101 is a `hidden beast` number, since 21 + 221 + 0 + 2 + 220 + 201 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23103691956900 + 189106530063201 = 4806630^2 + 13751601^2 .

It is not a de Polignac number, because 212210222020101 - 219 = 212210221495813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212210222020001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1459560436 + ... + 1459705821.

It is an arithmetic number, because the mean of its divisors is an integer number (13149834859161).

Almost surely, 2212210222020101 is an apocalyptic number.

It is an amenable number.

212210222020101 is a deficient number, since it is larger than the sum of its proper divisors (103385814599763).

212210222020101 is a wasteful number, since it uses less digits than its factorization.

212210222020101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919266501 (or 2919266498 counting only the distinct ones).

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

Adding to 212210222020101 its reverse (101020222012212), we get a palindrome (313230444032313).

The spelling of 212210222020101 in words is "two hundred twelve trillion, two hundred ten billion, two hundred twenty-two million, twenty thousand, one hundred one".

Divisors: 1 3 9 41 123 197 369 591 1773 8077 24231 72693 2919266257 8757798771 26273396313 119689916537 359069749611 575095452629 1077209248833 1725286357887 5175859073661 23578913557789 70736740673367 212210222020101