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121000121 = 1121019901
BaseRepresentation
bin1110011011001…
…01000010111001
322102200102221222
413031211002321
5221434000441
620001241425
72666325014
oct715450271
9272612858
10121000121
1162335200
1234633275
131c0b7208
14120da37b
15a951d4b
hex73650b9

121000121 has 12 divisors (see below), whose sum is σ = 134330532. Its totient is φ = 108900000.

The previous prime is 121000049. The next prime is 121000123.

121000121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 116208400 + 4791721 = 10780^2 + 2189^2 .

It is a de Polignac number, because none of the positive numbers 2k-121000121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121000099 and 121000108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121000123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7271 + ... + 17171.

It is an arithmetic number, because the mean of its divisors is an integer number (11194211).

Almost surely, 2121000121 is an apocalyptic number.

121000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121000121 is a deficient number, since it is larger than the sum of its proper divisors (13330411).

121000121 is a wasteful number, since it uses less digits than its factorization.

121000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10024 (or 10013 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 121000121 is about 11000.0054999986. The cubic root of 121000121 is about 494.6089091944.

It can be divided in two parts, 121000 and 121, that added together give a palindrome (121121).

The spelling of 121000121 in words is "one hundred twenty-one million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 11 101 121 1111 9901 12221 108911 1000001 1198021 11000011 121000121