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121656472145 = 5136173033449
BaseRepresentation
bin111000101001101001…
…0100111001001010001
3102122000110010010002122
41301103102213021101
53443123024102040
6131515504224025
711534521644155
oct1612322471121
9378013103078
10121656472145
11476599a816a
121b6b260b015
13b61a4333c0
145c6133b065
15327060c1b5
hex1c534a7251

121656472145 has 16 divisors (see below), whose sum is σ = 157472456400. Its totient is φ = 89692990464.

The previous prime is 121656472129. The next prime is 121656472177. The reversal of 121656472145 is 541274656121.

It can be written as a sum of positive squares in 8 ways, for example, as 81275167744 + 40381304401 = 285088^2 + 200951^2 .

It is a cyclic number.

It is not a de Polignac number, because 121656472145 - 24 = 121656472129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121656472096 and 121656472105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1476620 + ... + 1556829.

It is an arithmetic number, because the mean of its divisors is an integer number (9842028525).

Almost surely, 2121656472145 is an apocalyptic number.

It is an amenable number.

121656472145 is a deficient number, since it is larger than the sum of its proper divisors (35815984255).

121656472145 is a wasteful number, since it uses less digits than its factorization.

121656472145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034084.

The product of its digits is 403200, while the sum is 44.

The spelling of 121656472145 in words is "one hundred twenty-one billion, six hundred fifty-six million, four hundred seventy-two thousand, one hundred forty-five".

Divisors: 1 5 13 65 617 3085 8021 40105 3033449 15167245 39434837 197174185 1871638033 9358190165 24331294429 121656472145