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2031112000 = 2653307827
BaseRepresentation
bin111100100010000…
…0100111101000000
312020112220011212101
41321010010331000
513124431041000
6533313440144
7101222111221
oct17104047500
95215804771
102031112000
11952567565
12488270054
13264a4b528
14153a77248
15bd4aae6a
hex79104f40

2031112000 has 112 divisors (see below), whose sum is σ = 5052535488. Its totient is φ = 808819200.

The previous prime is 2031111959. The next prime is 2031112001. The reversal of 2031112000 is 2111302.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2031112001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2455587 + ... + 2456413.

It is an arithmetic number, because the mean of its divisors is an integer number (45111924).

Almost surely, 22031112000 is an apocalyptic number.

2031112000 is a gapful number since it is divisible by the number (20) 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 2031112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526267744).

2031112000 is an abundant number, since it is smaller than the sum of its proper divisors (3021423488).

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

2031112000 is an equidigital number, since it uses as much as digits as its factorization.

2031112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2031112000 is about 45067.8599447544. The cubic root of 2031112000 is about 1266.4205739210.

Adding to 2031112000 its reverse (2111302), we get a palindrome (2033223302).

The spelling of 2031112000 in words is "two billion, thirty-one million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 307 320 400 500 614 800 827 1000 1228 1535 1600 1654 2000 2456 3070 3308 4000 4135 4912 6140 6616 7675 8000 8270 9824 12280 13232 15350 16540 19648 20675 24560 26464 30700 33080 38375 41350 49120 52928 61400 66160 76750 82700 98240 103375 122800 132320 153500 165400 206750 245600 253889 264640 307000 330800 413500 491200 507778 614000 661600 827000 1015556 1228000 1269445 1323200 1654000 2031112 2456000 2538890 3308000 4062224 5077780 6347225 6616000 8124448 10155560 12694450 16248896 20311120 25388900 31736125 40622240 50777800 63472250 81244480 101555600 126944500 203111200 253889000 406222400 507778000 1015556000 2031112000