Search a number
-
+
210010122001120 = 2557187509037501
BaseRepresentation
bin101111110000000011001010…
…101110001001101011100000
31000112120202211111012020121011
4233300003022232021223200
5210011301212213013440
62022353152420110304
762143505412401350
oct5760031256115340
91015522744166534
10210010122001120
1160a08879a0a651
121b679450b35394
139024b3c47c57c
1439c0789192b60
151942ca293d9ea
hexbf00cab89ae0

210010122001120 has 48 divisors (see below), whose sum is σ = 567027329406048. Its totient is φ = 72003470400000.

The previous prime is 210010122001111. The next prime is 210010122001157. The reversal of 210010122001120 is 21100221010012.

It is a super-3 number, since 3×2100101220011203 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 210010122001120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93754517631 + ... + 93754519870.

It is an arithmetic number, because the mean of its divisors is an integer number (11813069362626).

Almost surely, 2210010122001120 is an apocalyptic number.

210010122001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210010122001120 is an abundant number, since it is smaller than the sum of its proper divisors (357017207404928).

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

210010122001120 is a wasteful number, since it uses less digits than its factorization.

210010122001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187509037523 (or 187509037515 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 210010122001120 its reverse (21100221010012), we get a palindrome (231110343011132).

The spelling of 210010122001120 in words is "two hundred ten trillion, ten billion, one hundred twenty-two million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 187509037501 375018075002 750036150004 937545187505 1312563262507 1500072300008 1875090375010 2625126525014 3000144600016 3750180750020 5250253050028 6000289200032 6562816312535 7500361500040 10500506100056 13125632625070 15000723000080 21001012200112 26251265250140 30001446000160 42002024400224 52502530500280 105005061000560 210010122001120