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423111111324 = 2231121019113167
BaseRepresentation
bin1100010100000110110…
…00110011001010011100
31111110010100012110122220
412022003120303022130
523413012421030244
6522212523305340
742366042051216
oct6120330631234
91443110173586
10423111111324
11153493212400
126a00307b250
1330b8c731645
141669b7355b6
15b015855319
hex628363329c

423111111324 has 144 divisors (see below), whose sum is σ = 1097462919168. Its totient is φ = 126766640000.

The previous prime is 423111111289. The next prime is 423111111331.

423111111324 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 = 423111111294 and 423111111303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133598389 + ... + 133601555.

It is an arithmetic number, because the mean of its divisors is an integer number (7621270272).

Almost surely, 2423111111324 is an apocalyptic number.

423111111324 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 423111111324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548731459584).

423111111324 is an abundant number, since it is smaller than the sum of its proper divisors (674351807844).

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

423111111324 is a wasteful number, since it uses less digits than its factorization.

423111111324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4208 (or 4195 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 423111 and 111324, that added together give a palindrome (534435).

The spelling of 423111111324 in words is "four hundred twenty-three billion, one hundred eleven million, one hundred eleven thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 121 132 202 242 303 363 404 484 606 726 911 1111 1212 1452 1822 2222 2733 3167 3333 3644 4444 5466 6334 6666 9501 10021 10932 12221 12668 13332 19002 20042 24442 30063 34837 36663 38004 40084 48884 60126 69674 73326 92011 104511 110231 120252 139348 146652 184022 209022 220462 276033 319867 330693 368044 383207 418044 440924 552066 639734 661386 766414 959601 1012121 1104132 1149621 1279468 1322772 1532828 1919202 2024242 2299242 2885137 3036363 3518537 3838404 4048484 4598484 5770274 6072726 7037074 8655411 10555611 11133331 11540548 12145452 14074148 17310822 21111222 22266662 31736507 33399993 34621644 38703907 42222444 44533324 63473014 66799986 77407814 95209521 116111721 126946028 133599972 154815628 190419042 232223442 291398837 349101577 380838084 464446884 582797674 698203154 874196511 1047304731 1165595348 1396406308 1748393022 2094609462 3205387207 3496786044 4189218924 6410774414 9616161621 12821548828 19232323242 35259259277 38464646484 70518518554 105777777831 141037037108 211555555662 423111111324