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10112122222101 = 331015576657359
BaseRepresentation
bin1001001100100110100101…
…1100111111011000010101
31022210201011011222021122000
42103021221130333120111
52311134111242101401
633301240025225513
72062401546454224
oct223115134773025
938721134867560
1010112122222101
11324958840aa99
121173969332299
13584752223c43
1426d602104cbb
1512808d4e2186
hex9326973f615

10112122222101 has 32 divisors (see below), whose sum is σ = 15156412070400. Its totient is φ = 6662683886400.

The previous prime is 10112122222057. The next prime is 10112122222123. The reversal of 10112122222101 is 10122222121101.

10112122222101 is a `hidden beast` number, since 10 + 11 + 212 + 222 + 210 + 1 = 666.

It is not a de Polignac number, because 10112122222101 - 27 = 10112122221973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112122222151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1809741 + ... + 4847618.

It is an arithmetic number, because the mean of its divisors is an integer number (473637877200).

Almost surely, 210112122222101 is an apocalyptic number.

It is an amenable number.

10112122222101 is a deficient number, since it is larger than the sum of its proper divisors (5044289848299).

10112122222101 is a wasteful number, since it uses less digits than its factorization.

10112122222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6658026 (or 6658020 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10112122222101 its reverse (10122222121101), we get a palindrome (20234344343202).

The spelling of 10112122222101 in words is "ten trillion, one hundred twelve billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred one".

Divisors: 1 3 9 27 101 303 557 909 1671 2727 5013 15039 56257 168771 506313 1518939 6657359 19972077 59916231 179748693 672393259 2017179777 3708148963 6051539331 11124446889 18154617993 33373340667 100120022001 374523045263 1123569135789 3370707407367 10112122222101