Search a number
-
+
5120122000 = 245372315901
BaseRepresentation
bin1001100010010111…
…01101110010010000
3111012211102010222011
410301023231302100
540441222401000
62204021552304
7240611214250
oct46113556220
914184363864
105120122000
1121981a2494
12baa875694
136379c91b6
1436800d960
151ee7832ba
hex1312edc90

5120122000 has 160 divisors (see below), whose sum is σ = 14765197824. Its totient is φ = 1679040000.

The previous prime is 5120121997. The next prime is 5120122003. The reversal of 5120122000 is 2210215.

It is an interprime number because it is at equal distance from previous prime (5120121997) and next prime (5120122003).

It is not an unprimeable number, because it can be changed into a prime (5120122003) 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, 314050 + ... + 329950.

Almost surely, 25120122000 is an apocalyptic number.

5120122000 is a gapful number since it is divisible by the number (50) 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 5120122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7382598912).

5120122000 is an abundant number, since it is smaller than the sum of its proper divisors (9645075824).

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

5120122000 is a wasteful number, since it uses less digits than its factorization.

5120122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15954 (or 15938 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 5120122000 is about 71555.0277758314. The cubic root of 5120122000 is about 1723.5614415539.

Adding to 5120122000 its reverse (2210215), we get a palindrome (5122332215).

The spelling of 5120122000 in words is "five billion, one hundred twenty million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 25 28 35 40 46 50 56 70 80 92 100 112 115 125 140 161 175 184 200 230 250 280 322 350 368 400 460 500 560 575 644 700 805 875 920 1000 1150 1288 1400 1610 1750 1840 2000 2300 2576 2800 2875 3220 3500 4025 4600 5750 6440 7000 8050 9200 11500 12880 14000 15901 16100 20125 23000 31802 32200 40250 46000 63604 64400 79505 80500 111307 127208 159010 161000 222614 254416 318020 322000 365723 397525 445228 556535 636040 731446 795050 890456 1113070 1272080 1462892 1590100 1780912 1828615 1987625 2226140 2560061 2782675 2925784 3180200 3657230 3975250 4452280 5120122 5565350 5851568 6360400 7314460 7950500 8904560 9143075 10240244 11130700 12800305 13913375 14628920 15901000 18286150 20480488 22261400 25600610 27826750 29257840 31802000 36572300 40960976 44522800 45715375 51201220 55653500 64001525 73144600 91430750 102402440 111307000 128003050 146289200 182861500 204804880 222614000 256006100 320007625 365723000 512012200 640015250 731446000 1024024400 1280030500 2560061000 5120122000