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121013123 = 71117193479
BaseRepresentation
bin1110011011010…
…00001110000011
322102201002210112
413031220032003
5221434404443
620001421535
72666410640
oct715501603
9272632715
10121013123
1162343a50
123463a8ab
131c0c00ca
1412100dc7
15a955b18
hex7368383

121013123 has 32 divisors (see below), whose sum is σ = 160911360. Its totient is φ = 88104960.

The previous prime is 121013117. The next prime is 121013131. The reversal of 121013123 is 321310121.

It is a cyclic number.

It is not a de Polignac number, because 121013123 - 24 = 121013107 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121013098 and 121013107.

It is not an unprimeable number, because it can be changed into a prime (121013173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252398 + ... + 252876.

It is an arithmetic number, because the mean of its divisors is an integer number (5028480).

Almost surely, 2121013123 is an apocalyptic number.

121013123 is a deficient number, since it is larger than the sum of its proper divisors (39898237).

121013123 is a wasteful number, since it uses less digits than its factorization.

121013123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 121013123 is about 11000.5964838276. The cubic root of 121013123 is about 494.6266245340.

Adding to 121013123 its reverse (321310121), we get a palindrome (442323244).

The spelling of 121013123 in words is "one hundred twenty-one million, thirteen thousand, one hundred twenty-three".

Divisors: 1 7 11 17 77 119 187 193 479 1309 1351 2123 3281 3353 5269 8143 14861 22967 36091 36883 57001 89573 92447 252637 627011 647129 1016917 1571599 7118419 11001193 17287589 121013123