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122504293 = 735213221
BaseRepresentation
bin1110100110101…
…00010001100101
322112111212022001
413103110101211
5222330114133
620053405301
73015161242
oct723242145
9275455261
10122504293
116317231a
1235039831
131c4c2a62
14123ac5c9
15ab4c87d
hex74d4465

122504293 has 8 divisors (see below), whose sum is σ = 124459416. Its totient is φ = 120556800.

The previous prime is 122504251. The next prime is 122504303. The reversal of 122504293 is 392405221.

It can be written as a sum of positive squares in 4 ways, for example, as 24137569 + 98366724 = 4913^2 + 9918^2 .

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 122504293 - 217 = 122373221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122504203) 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, 36423 + ... + 39643.

It is an arithmetic number, because the mean of its divisors is an integer number (15557427).

Almost surely, 2122504293 is an apocalyptic number.

It is an amenable number.

122504293 is a deficient number, since it is larger than the sum of its proper divisors (1955123).

122504293 is an equidigital number, since it uses as much as digits as its factorization.

122504293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3815.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 122504293 is about 11068.1657468616. The cubic root of 122504293 is about 496.6499957369.

The spelling of 122504293 in words is "one hundred twenty-two million, five hundred four thousand, two hundred ninety-three".

Divisors: 1 73 521 3221 38033 235133 1678141 122504293