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423321000123324 = 22317101109718728873
BaseRepresentation
bin110000001000000100001100…
…1110101101001101110111100
32001111212002111100100201112010
41200100020121311221232330
5420441142402012421244
64100154552135211220
7155110635004154232
oct14020103165515674
92044762440321463
10423321000123324
11112979478683126
123b58a542516b10
1315228ccab19254
147676bba966952
1533e183d83aeb9
hex1810219d69bbc

423321000123324 has 96 divisors (see below), whose sum is σ = 1057169722142016. Its totient is φ = 131371799756800.

The previous prime is 423321000123323. The next prime is 423321000123337.

It is a happy number.

423321000123324 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4233210001233242 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 423321000123291 and 423321000123300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423321000123323) 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, 13238152 + ... + 31967024.

It is an arithmetic number, because the mean of its divisors is an integer number (11012184605646).

Almost surely, 2423321000123324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423321000123324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528584861071008).

423321000123324 is an abundant number, since it is smaller than the sum of its proper divisors (633848722018692).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

423321000123324 is a wasteful number, since it uses less digits than its factorization.

423321000123324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18730095 (or 18730093 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 423321000 and 123324, that added together give a palindrome (423444324).

The spelling of 423321000123324 in words is "four hundred twenty-three trillion, three hundred twenty-one billion, one hundred twenty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 101 102 202 204 303 404 606 1097 1212 1717 2194 3291 3434 4388 5151 6582 6868 10302 13164 18649 20604 37298 55947 74596 110797 111894 221594 223788 332391 443188 664782 1329564 1883549 3767098 5650647 7534196 11301294 18728873 22602588 37457746 56186619 74915492 112373238 224746476 318390841 636781682 955172523 1273563364 1891616173 1910345046 3783232346 3820690092 5674848519 7566464692 11349697038 20545573681 22699394076 32157474941 41091147362 61636721043 64314949882 82182294724 96472424823 123273442086 128629899764 192944849646 246546884172 349274752577 385889699292 698549505154 1047824257731 1397099010308 2075102941781 2095648515462 4150205883562 4191297030924 6225308825343 8300411767124 12450617650686 24901235301372 35276750010277 70553500020554 105830250030831 141107000041108 211660500061662 423321000123324