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122144225429 = 17471572713593
BaseRepresentation
bin111000111000001011…
…1001111100010010101
3102200021102220112211002
41301300113033202111
54000122410203204
6132040130353045
711552563533332
oct1616027174225
9380242815732
10122144225429
114788a25a456
121b809a2b785
13b6974bb105
145caa025989
15329d35691e
hex1c705cf895

122144225429 has 32 divisors (see below), whose sum is σ = 133449762816. Its totient is φ = 111353149440.

The previous prime is 122144225387. The next prime is 122144225449. The reversal of 122144225429 is 924522441221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122144225429 - 232 = 117849258133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122144225392 and 122144225401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122144225449) 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 31 ways as a sum of consecutive naturals, for example, 33993257 + ... + 33996849.

It is an arithmetic number, because the mean of its divisors is an integer number (4170305088).

Almost surely, 2122144225429 is an apocalyptic number.

It is an amenable number.

122144225429 is a deficient number, since it is larger than the sum of its proper divisors (11305537387).

122144225429 is a wasteful number, since it uses less digits than its factorization.

122144225429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4085.

The product of its digits is 92160, while the sum is 38.

The spelling of 122144225429 in words is "one hundred twenty-two billion, one hundred forty-four million, two hundred twenty-five thousand, four hundred twenty-nine".

Divisors: 1 17 47 157 271 799 2669 3593 4607 7379 12737 42547 61081 125443 168871 216529 564101 723299 973703 1999709 2870807 9589717 16552951 26512747 33995053 45764041 152871371 450716699 777988697 2598813307 7184954437 122144225429