Search a number
-
+
210120012300 = 223521192968539
BaseRepresentation
bin1100001110110000100…
…0001111001000001100
3202002100121212120112210
43003230020033020030
511420311210343200
6240310001030420
721115653431022
oct3035410171014
9662317776483
10210120012300
11811252a6230
1234880925410
1316a77b39033
14a254164712
1556ebb3b650
hex30ec20f20c

210120012300 has 144 divisors (see below), whose sum is σ = 663938755200. Its totient is φ = 50882611200.

The previous prime is 210120012283. The next prime is 210120012313. The reversal of 210120012300 is 3210021012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3031431 + ... + 3099969.

It is an arithmetic number, because the mean of its divisors is an integer number (4610685800).

Almost surely, 2210120012300 is an apocalyptic number.

210120012300 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 210120012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331969377600).

210120012300 is an abundant number, since it is smaller than the sum of its proper divisors (453818742900).

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

210120012300 is a wasteful number, since it uses less digits than its factorization.

210120012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69496 (or 69489 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 210120012300 its reverse (3210021012), we get a palindrome (213330033312).

The spelling of 210120012300 in words is "two hundred ten billion, one hundred twenty million, twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 929 1100 1650 1858 2787 3300 3716 4645 5574 9290 10219 11148 13935 18580 20438 23225 27870 30657 40876 46450 51095 55740 61314 68539 69675 92900 102190 122628 137078 139350 153285 204380 205617 255475 274156 278700 306570 342695 411234 510950 613140 685390 753929 766425 822468 1021900 1028085 1370780 1507858 1532850 1713475 2056170 2261787 3015716 3065700 3426950 3769645 4112340 4523574 5140425 6853900 7539290 9047148 10280850 11308935 15078580 18848225 20561700 22617870 37696450 45235740 56544675 63672731 75392900 113089350 127345462 191018193 226178700 254690924 318363655 382036386 636727310 700400041 764072772 955090965 1273454620 1400800082 1591818275 1910181930 2101200123 2801600164 3183636550 3502000205 3820363860 4202400246 4775454825 6367273100 7004000410 8404800492 9550909650 10506000615 14008000820 17510001025 19101819300 21012001230 35020002050 42024002460 52530003075 70040004100 105060006150 210120012300