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10310133324200 = 2352241490343627
BaseRepresentation
bin1001011000001000001111…
…0101011001100110101000
31100111122020220210111010012
42112002003311121212220
52322410123112333300
633532224310311052
72112611500166123
oct226020365314650
940448226714105
1010310133324200
113315559527816
1211a620a958488
1359a31a485148
14279027dbb3ba
1512d2cc048435
hex96083d599a8

10310133324200 has 96 divisors (see below), whose sum is σ = 24075986151360. Its totient is φ = 4106009318400.

The previous prime is 10310133324191. The next prime is 10310133324221. The reversal of 10310133324200 is 242333101301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236302787 + ... + 236346413.

It is an arithmetic number, because the mean of its divisors is an integer number (250791522410).

Almost surely, 210310133324200 is an apocalyptic number.

10310133324200 is a gapful number since it is divisible by the number (10) 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 10310133324200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12037993075680).

10310133324200 is an abundant number, since it is smaller than the sum of its proper divisors (13765852827160).

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

10310133324200 is a wasteful number, since it uses less digits than its factorization.

10310133324200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48787 (or 48778 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 10310133324200 its reverse (242333101301), we get a palindrome (10552466425501).

The spelling of 10310133324200 in words is "ten trillion, three hundred ten billion, one hundred thirty-three million, three hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 241 482 964 1205 1928 2410 4820 4903 6025 9640 9806 12050 19612 24100 24515 39224 43627 48200 49030 87254 98060 122575 174508 196120 218135 245150 349016 436270 490300 872540 980600 1090675 1181623 1745080 2181350 2363246 4362700 4726492 5908115 8725400 9452984 10514107 11816230 21028214 23632460 29540575 42056428 47264920 52570535 59081150 84112856 105141070 118162300 210282140 213903181 236324600 262852675 420564280 427806362 525705350 855612724 1051410700 1069515905 1711225448 2102821400 2139031810 4278063620 5347579525 8556127240 10695159050 21390318100 42780636200 51550666621 103101333242 206202666484 257753333105 412405332968 515506666210 1031013332420 1288766665525 2062026664840 2577533331050 5155066662100 10310133324200