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1034120000 = 2654103251
BaseRepresentation
bin111101101000110…
…110101101000000
32200001212201221202
4331220312231000
54104213320000
6250340440332
734424606054
oct7550665500
92601781852
101034120000
11490808731
1224a3a90a8
13136325534
149b4adc64
1560bc0dd5
hex3da36b40

1034120000 has 140 divisors (see below), whose sum is σ = 2599492896. Its totient is φ = 408000000.

The previous prime is 1034119987. The next prime is 1034120023. The reversal of 1034120000 is 214301.

It is a happy number.

1034120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4119875 + ... + 4120125.

Almost surely, 21034120000 is an apocalyptic number.

1034120000 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 1034120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299746448).

1034120000 is an abundant number, since it is smaller than the sum of its proper divisors (1565372896).

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

1034120000 is an equidigital number, since it uses as much as digits as its factorization.

1034120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1034120000 is about 32157.7362387342. The cubic root of 1034120000 is about 1011.2463781605.

Adding to 1034120000 its reverse (214301), we get a palindrome (1034334301).

It can be divided in two parts, 103 and 4120000, that multiplied together give a square (424360000 = 206002).

The spelling of 1034120000 in words is "one billion, thirty-four million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 103 125 160 200 206 250 251 320 400 412 500 502 515 625 800 824 1000 1004 1030 1250 1255 1600 1648 2000 2008 2060 2500 2510 2575 3296 4000 4016 4120 5000 5020 5150 6275 6592 8000 8032 8240 10000 10040 10300 12550 12875 16064 16480 20000 20080 20600 25100 25750 25853 31375 32960 40000 40160 41200 50200 51500 51706 62750 64375 80320 82400 100400 103000 103412 125500 128750 129265 156875 164800 200800 206000 206824 251000 257500 258530 313750 401600 412000 413648 502000 515000 517060 627500 646325 824000 827296 1004000 1030000 1034120 1255000 1292650 1654592 2008000 2060000 2068240 2510000 2585300 3231625 4120000 4136480 5020000 5170600 6463250 8272960 10040000 10341200 12926500 16158125 20682400 25853000 32316250 41364800 51706000 64632500 103412000 129265000 206824000 258530000 517060000 1034120000