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122351013 = 3319793019
BaseRepresentation
bin1110100101011…
…10110110100101
322112020002001000
413102232312211
5222310213023
620050223513
73013652331
oct722566645
9275202030
10122351013
1163078144
1234b84b99
131c46b065
141236c7c1
15ab1c243
hex74aeda5

122351013 has 32 divisors (see below), whose sum is σ = 193280000. Its totient is φ = 76270896.

The previous prime is 122350981. The next prime is 122351027. The reversal of 122351013 is 310153221.

It is not a de Polignac number, because 122351013 - 25 = 122350981 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 (122351413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39018 + ... + 42036.

It is an arithmetic number, because the mean of its divisors is an integer number (6040000).

Almost surely, 2122351013 is an apocalyptic number.

It is an amenable number.

122351013 is a deficient number, since it is larger than the sum of its proper divisors (70928987).

122351013 is a wasteful number, since it uses less digits than its factorization.

122351013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3126 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 122351013 is about 11061.2392162904. The cubic root of 122351013 is about 496.4427695738.

The spelling of 122351013 in words is "one hundred twenty-two million, three hundred fifty-one thousand, thirteen".

Divisors: 1 3 9 19 27 57 79 171 237 513 711 1501 2133 3019 4503 9057 13509 27171 40527 57361 81513 172083 238501 516249 715503 1548747 2146509 4531519 6439527 13594557 40783671 122351013