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122034244031 = 71719232346677
BaseRepresentation
bin111000110100111001…
…1101100100110111111
3102122222202221220200222
41301221303230212333
53444411231302111
6132021201211555
711550056650010
oct1615163544677
9378882856628
10122034244031
1147833170837
121b799030bbb
13b67a79136b
145c99597007
15329387e7db
hex1c69cec9bf

122034244031 has 32 divisors (see below), whose sum is σ = 162202383360. Its totient is φ = 89211234816.

The previous prime is 122034244021. The next prime is 122034244037. The reversal of 122034244031 is 130442430221.

It is a cyclic number.

It is not a de Polignac number, because 122034244031 - 230 = 120960502207 is a prime.

It is a super-2 number, since 2×1220342440312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122034244037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1121336 + ... + 1225341.

It is an arithmetic number, because the mean of its divisors is an integer number (5068824480).

Almost surely, 2122034244031 is an apocalyptic number.

122034244031 is a deficient number, since it is larger than the sum of its proper divisors (40168139329).

122034244031 is a wasteful number, since it uses less digits than its factorization.

122034244031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346743.

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 122034244031 its reverse (130442430221), we get a palindrome (252476674252).

The spelling of 122034244031 in words is "one hundred twenty-two billion, thirty-four million, two hundred forty-four thousand, thirty-one".

Divisors: 1 7 17 19 23 119 133 161 323 391 437 2261 2737 3059 7429 52003 2346677 16426739 39893509 44586863 53973571 279254563 312108041 377814997 757976671 917550707 1025497849 5305836697 6422854949 7178484943 17433463433 122034244031