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10331231000 = 2353193471567
BaseRepresentation
bin10011001111100101…
…00001001100011000
3222200000000220122012
421213302201030120
5132124243343000
64425054045052
7514006004666
oct114762411430
928600026565
1010331231000
11442178a842
122003aa9788
13c8850164c
14700145c36
15406eda735
hex267ca1318

10331231000 has 128 divisors (see below), whose sum is σ = 25537075200. Its totient is φ = 3901219200.

The previous prime is 10331230979. The next prime is 10331231003. The reversal of 10331231000 is 13213301.

It is a super-2 number, since 2×103312310002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10331231003) 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, 6592217 + ... + 6593783.

It is an arithmetic number, because the mean of its divisors is an integer number (199508400).

Almost surely, 210331231000 is an apocalyptic number.

10331231000 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 10331231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12768537600).

10331231000 is an abundant number, since it is smaller than the sum of its proper divisors (15205844200).

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

10331231000 is a wasteful number, since it uses less digits than its factorization.

10331231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 10331231000 its reverse (13213301), we get a palindrome (10344444301).

The spelling of 10331231000 in words is "ten billion, three hundred thirty-one million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 347 380 475 500 694 760 950 1000 1388 1567 1735 1900 2375 2776 3134 3470 3800 4750 6268 6593 6940 7835 8675 9500 12536 13186 13880 15670 17350 19000 26372 29773 31340 32965 34700 39175 43375 52744 59546 62680 65930 69400 78350 86750 119092 131860 148865 156700 164825 173500 195875 238184 263720 297730 313400 329650 347000 391750 543749 595460 659300 744325 783500 824125 1087498 1190920 1318600 1488650 1567000 1648250 2174996 2718745 2977300 3296500 3721625 4349992 5437490 5954600 6593000 7443250 10331231 10874980 13593725 14886500 20662462 21749960 27187450 29773000 41324924 51656155 54374900 67968625 82649848 103312310 108749800 135937250 206624620 258280775 271874500 413249240 516561550 543749000 1033123100 1291403875 2066246200 2582807750 5165615500 10331231000