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122792105 = 5171444613
BaseRepresentation
bin1110101000110…
…10100010101001
322120001111002202
413110122202221
5222413321410
620103505545
73020500322
oct724324251
9276044082
10122792105
1163349587
12351582b5
131c593a67
1412445449
15aba7ca5
hex751a8a9

122792105 has 8 divisors (see below), whose sum is σ = 156018312. Its totient is φ = 92455168.

The previous prime is 122792077. The next prime is 122792107. The reversal of 122792105 is 501297221.

It can be written as a sum of positive squares in 4 ways, for example, as 60902416 + 61889689 = 7804^2 + 7867^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122792105 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122792107) 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 7 ways as a sum of consecutive naturals, for example, 722222 + ... + 722391.

It is an arithmetic number, because the mean of its divisors is an integer number (19502289).

Almost surely, 2122792105 is an apocalyptic number.

It is an amenable number.

122792105 is a deficient number, since it is larger than the sum of its proper divisors (33226207).

122792105 is a wasteful number, since it uses less digits than its factorization.

122792105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444635.

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 122792105 is about 11081.1599122114. The cubic root of 122792105 is about 497.0386352648.

The spelling of 122792105 in words is "one hundred twenty-two million, seven hundred ninety-two thousand, one hundred five".

Divisors: 1 5 17 85 1444613 7223065 24558421 122792105