Search a number
-
+
210110000120200 = 23522577477546709
BaseRepresentation
bin101111110001100000001011…
…111010111100000110001000
31000112221022122011111101122201
4233301200023322330012020
5210014420240012321300
62022511111310525544
762153642446403035
oct5761401372740610
91015838564441581
10210110000120200
1160a47172569814
121b694885b068b4
139031398956c0b
1439c5541d6838c
15194569b10066a
hexbf180bebc188

210110000120200 has 96 divisors (see below), whose sum is σ = 490473036678600. Its totient is φ = 83705630883840.

The previous prime is 210110000120171. The next prime is 210110000120233. The reversal of 210110000120200 is 2021000011012.

It can be written as a sum of positive squares in 12 ways, for example, as 118968189820516 + 91141810299684 = 10907254^2 + 9546822^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384044446 + ... + 384591154.

Almost surely, 2210110000120200 is an apocalyptic number.

210110000120200 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 210110000120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245236518339300).

210110000120200 is an abundant number, since it is smaller than the sum of its proper divisors (280363036558400).

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

210110000120200 is a wasteful number, since it uses less digits than its factorization.

210110000120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554459 (or 554450 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 210110000120200 its reverse (2021000011012), we get a palindrome (212131000131212).

The spelling of 210110000120200 in words is "two hundred ten trillion, one hundred ten billion, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 257 514 1028 1285 2056 2570 5140 6425 7477 10280 12850 14954 25700 29908 37385 51400 59816 74770 149540 186925 299080 373850 546709 747700 1093418 1495400 1921589 2186836 2733545 3843178 4373672 5467090 7686356 9607945 10934180 13667725 15372712 19215890 21868360 27335450 38431780 48039725 54670900 76863560 96079450 109341800 140504213 192158900 281008426 384317800 562016852 702521065 1124033704 1405042130 2810084260 3512605325 4087743193 5620168520 7025210650 8175486386 14050421300 16350972772 20438715965 28100842600 32701945544 40877431930 81754863860 102193579825 163509727720 204387159650 408774319300 817548638600 1050550000601 2101100001202 4202200002404 5252750003005 8404400004808 10505500006010 21011000012020 26263750015025 42022000024040 52527500030050 105055000060100 210110000120200