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423321123324 = 223118997371479
BaseRepresentation
bin1100010100011111110…
…01111011100111111100
31111110122222101011222010
412022033321323213330
523413430201421244
6522245424451220
742404202115131
oct6121771734774
91443588334863
10423321123324
11153590813540
126a061479b10
1330bc40b2ab8
14166bb5a2588
15b028edaeb9
hex628fe7b9fc

423321123324 has 96 divisors (see below), whose sum is σ = 1100888409600. Its totient is φ = 125529845760.

The previous prime is 423321123263. The next prime is 423321123361.

It is a happy number.

423321123324 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 423321123291 and 423321123300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 953817 + ... + 1325295.

It is an arithmetic number, because the mean of its divisors is an integer number (11467587600).

Almost surely, 2423321123324 is an apocalyptic number.

423321123324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423321123324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550444204800).

423321123324 is an abundant number, since it is smaller than the sum of its proper divisors (677567286276).

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

423321123324 is a wasteful number, since it uses less digits than its factorization.

423321123324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371683 (or 371681 counting only the distinct ones).

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

It can be divided in two parts, 423321 and 123324, that added together give a palindrome (546645).

The spelling of 423321123324 in words is "four hundred twenty-three billion, three hundred twenty-one million, one hundred twenty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 89 97 132 178 194 267 291 356 388 534 582 979 1067 1068 1164 1958 2134 2937 3201 3916 4268 5874 6402 8633 11748 12804 17266 25899 34532 51798 94963 103596 189926 284889 371479 379852 569778 742958 1114437 1139556 1485916 2228874 4086269 4457748 8172538 12258807 16345076 24517614 33061631 36033463 49035228 66123262 72066926 99184893 108100389 132246524 144133852 198369786 216200778 363677941 396368093 396739572 432401556 727355882 792736186 1091033823 1189104279 1454711764 1585472372 2182067646 2378208558 3206978207 4364135292 4756417116 6413956414 9620934621 12827912828 19241869242 35276760277 38483738484 70553520554 105830280831 141107041108 211660561662 423321123324