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121000110112121 = 2789140797308137
BaseRepresentation
bin11011100000110010001000…
…100101001011110101111001
3120212102111102201101201212012
4123200302020211023311321
5111324431211142041441
61105202403323255305
734325653345652612
oct3340621045136571
9525374381351765
10121000110112121
1135610949767a59
12116a277007a535
1352693524698c6
1421c4617d7ac09
15dec7558bc9eb
hex6e0c8894bd79

121000110112121 has 8 divisors (see below), whose sum is σ = 121044747405960. Its totient is φ = 120955473721728.

The previous prime is 121000110112097. The next prime is 121000110112139. The reversal of 121000110112121 is 121211011000121.

It can be written as a sum of positive squares in 4 ways, for example, as 5280056896 + 120994830055225 = 72664^2 + 10999765^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 121000110112121 - 218 = 121000109849977 is a prime.

It is a super-2 number, since 2×1210001101121212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121000110112096 and 121000110112105.

It is not an unprimeable number, because it can be changed into a prime (121000110312121) 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 7 ways as a sum of consecutive naturals, for example, 392528765 + ... + 392836901.

It is an arithmetic number, because the mean of its divisors is an integer number (15130593425745).

Almost surely, 2121000110112121 is an apocalyptic number.

It is an amenable number.

121000110112121 is a deficient number, since it is larger than the sum of its proper divisors (44637293839).

121000110112121 is a wasteful number, since it uses less digits than its factorization.

121000110112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451723.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 121000110112121 its reverse (121211011000121), we get a palindrome (242211121112242).

The spelling of 121000110112121 in words is "one hundred twenty-one trillion, one hundred ten million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 2789 140797 308137 392682833 859394093 43384765189 121000110112121