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122830765413 = 31912891671781
BaseRepresentation
bin111001001100101001…
…0001011110101100101
3102202001021202101121220
41302121102023311211
54003024133443123
6132232213330553
711605601164536
oct1623122136545
9382037671556
10122830765413
1148101846074
121b97b936a59
13b7767c6aa5
145d3329868d
1532dd76ace3
hex1c9948bd65

122830765413 has 16 divisors (see below), whose sum is σ = 172527902400. Its totient is φ = 77517095040.

The previous prime is 122830765381. The next prime is 122830765417. The reversal of 122830765413 is 314567038221.

It is not a de Polignac number, because 122830765413 - 25 = 122830765381 is a prime.

It is a super-3 number, since 3×1228307654133 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122830765417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 762418 + ... + 909363.

It is an arithmetic number, because the mean of its divisors is an integer number (10782993900).

Almost surely, 2122830765413 is an apocalyptic number.

It is an amenable number.

122830765413 is a deficient number, since it is larger than the sum of its proper divisors (49697136987).

122830765413 is a wasteful number, since it uses less digits than its factorization.

122830765413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673092.

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 122830765413 in words is "one hundred twenty-two billion, eight hundred thirty million, seven hundred sixty-five thousand, four hundred thirteen".

Divisors: 1 3 19 57 1289 3867 24491 73473 1671781 5015343 31763839 95291517 2154925709 6464777127 40943588471 122830765413