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105233333530 = 25131757178329
BaseRepresentation
bin110001000000001100…
…1010011110100011010
3101001121220002020020111
41202000121103310122
53211004213133110
6120202111314534
710413531401443
oct1420031236432
9331556066214
10105233333530
11406a1523036
121848a51ba4a
139c00ac69c0
1451441002ca
152b0d8d1e8a
hex1880653d1a

105233333530 has 64 divisors (see below), whose sum is σ = 216053943840. Its totient is φ = 36558987264.

The previous prime is 105233333483. The next prime is 105233333533. The reversal of 105233333530 is 35333332501.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1097398129 + 104135935401 = 33127^2 + 322701^2 .

It is a super-2 number, since 2×1052333335302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105233333492 and 105233333501.

It is not an unprimeable number, because it can be changed into a prime (105233333533) 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, 12630406 + ... + 12638734.

Almost surely, 2105233333530 is an apocalyptic number.

105233333530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105233333530 is an abundant number, since it is smaller than the sum of its proper divisors (110820610310).

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

105233333530 is a wasteful number, since it uses less digits than its factorization.

105233333530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14083.

The product of its (nonzero) digits is 36450, while the sum is 31.

The spelling of 105233333530 in words is "one hundred five billion, two hundred thirty-three million, three hundred thirty-three thousand, five hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 170 221 442 1105 2210 5717 8329 11434 16658 28585 41645 57170 74321 83290 97189 108277 141593 148642 194378 216554 283186 371605 485945 541385 707965 743210 971890 1082770 1263457 1415930 1840709 2526914 3681418 6317285 9203545 12634570 18407090 47616893 95233786 238084465 476168930 619019609 809487181 1238039218 1618974362 3095098045 4047435905 6190196090 8094871810 10523333353 21046666706 52616666765 105233333530