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105231133120 = 265569577939
BaseRepresentation
bin110001000000001000…
…0111010100111000000
3101001121201221102211211
41202000100322213000
53211003132224440
6120201552215504
710413503605321
oct1420020724700
9331551842754
10105231133120
11406a025a913
121848983a594
139c00506299
145143aca448
152b0d5e9eea
hex188043a9c0

105231133120 has 56 divisors (see below), whose sum is σ = 251022459600. Its totient is φ = 42018404352.

The previous prime is 105231133097. The next prime is 105231133121. The reversal of 105231133120 is 21331132501.

It is a super-2 number, since 2×1052311331202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105231133091 and 105231133100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105231133121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106890 + ... + 471049.

Almost surely, 2105231133120 is an apocalyptic number.

105231133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105231133120 is an abundant number, since it is smaller than the sum of its proper divisors (145791326480).

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

105231133120 is an equidigital number, since it uses as much as digits as its factorization.

105231133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578525 (or 578515 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 105231133120 its reverse (21331132501), we get a palindrome (126562265621).

The spelling of 105231133120 in words is "one hundred five billion, two hundred thirty-one million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 569 1138 2276 2845 4552 5690 9104 11380 18208 22760 36416 45520 91040 182080 577939 1155878 2311756 2889695 4623512 5779390 9247024 11558780 18494048 23117560 36988096 46235120 92470240 184940480 328847291 657694582 1315389164 1644236455 2630778328 3288472910 5261556656 6576945820 10523113312 13153891640 21046226624 26307783280 52615566560 105231133120