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2050334100 = 2233526431181
BaseRepresentation
bin111101000110101…
…1001110110010100
312021220001202122000
41322031121312110
513144341142400
6535241435300
7101544360303
oct17215316624
95256052560
102050334100
119623a63a1
1249279bb30
13268a1b859
1415643c43a
15c0006600
hex7a359d94

2050334100 has 144 divisors (see below), whose sum is σ = 6607285440. Its totient is φ = 545443200.

The previous prime is 2050334093. The next prime is 2050334119. The reversal of 2050334100 is 14330502.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1735510 + ... + 1736690.

Almost surely, 22050334100 is an apocalyptic number.

2050334100 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 2050334100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3303642720).

2050334100 is an abundant number, since it is smaller than the sum of its proper divisors (4556951340).

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

2050334100 is a wasteful number, since it uses less digits than its factorization.

2050334100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2050334100 is about 45280.6150576602. The cubic root of 2050334100 is about 1270.4031001816.

Adding to 2050334100 its reverse (14330502), we get a palindrome (2064664602).

The spelling of 2050334100 in words is "two billion, fifty million, three hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 643 675 900 1181 1286 1350 1929 2362 2572 2700 3215 3543 3858 4724 5787 5905 6430 7086 7716 9645 10629 11574 11810 12860 14172 16075 17361 17715 19290 21258 23148 23620 28935 29525 31887 32150 34722 35430 38580 42516 48225 53145 57870 59050 63774 64300 69444 70860 86805 88575 96450 106290 115740 118100 127548 144675 159435 173610 177150 192900 212580 265725 289350 318870 347220 354300 434025 531450 578700 637740 759383 797175 868050 1062900 1518766 1594350 1736100 2278149 3037532 3188700 3796915 4556298 6834447 7593830 9112596 11390745 13668894 15187660 18984575 20503341 22781490 27337788 34172235 37969150 41006682 45562980 56953725 68344470 75938300 82013364 102516705 113907450 136688940 170861175 205033410 227814900 341722350 410066820 512583525 683444700 1025167050 2050334100