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2050112000 = 2953103311
BaseRepresentation
bin111101000110010…
…0011101000000000
312021212122110222002
41322030203220000
513144312041000
6535233003132
7101542443626
oct17214435000
95255573862
102050112000
11962264542
124926b34a8
13268971731
141563c1516
15beeb08d5
hex7a323a00

2050112000 has 160 divisors (see below), whose sum is σ = 5178311424. Its totient is φ = 809472000.

The previous prime is 2050111997. The next prime is 2050112011. The reversal of 2050112000 is 2110502.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6591845 + ... + 6592155.

Almost surely, 22050112000 is an apocalyptic number.

2050112000 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 2050112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589155712).

2050112000 is an abundant number, since it is smaller than the sum of its proper divisors (3128199424).

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

2050112000 is an equidigital number, since it uses as much as digits as its factorization.

2050112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 2050112000 is about 45278.1625068863. The cubic root of 2050112000 is about 1270.3572268908.

Adding to 2050112000 its reverse (2110502), we get a palindrome (2052222502).

The spelling of 2050112000 in words is "two billion, fifty million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 103 125 128 160 200 206 250 256 311 320 400 412 500 512 515 622 640 800 824 1000 1030 1244 1280 1555 1600 1648 2000 2060 2488 2560 2575 3110 3200 3296 4000 4120 4976 5150 6220 6400 6592 7775 8000 8240 9952 10300 12440 12800 12875 13184 15550 16000 16480 19904 20600 24880 25750 26368 31100 32000 32033 32960 38875 39808 41200 49760 51500 52736 62200 64000 64066 65920 77750 79616 82400 99520 103000 124400 128132 131840 155500 159232 160165 164800 199040 206000 248800 256264 263680 311000 320330 329600 398080 412000 497600 512528 622000 640660 659200 796160 800825 824000 995200 1025056 1244000 1281320 1318400 1601650 1648000 1990400 2050112 2488000 2562640 3203300 3296000 3980800 4004125 4100224 4976000 5125280 6406600 6592000 8008250 8200448 9952000 10250560 12813200 16016500 16400896 19904000 20501120 25626400 32033000 41002240 51252800 64066000 82004480 102505600 128132000 205011200 256264000 410022400 512528000 1025056000 2050112000