Search a number
-
+
210012211101210 = 235717329031991279
BaseRepresentation
bin101111110000000101000111…
…001111011011111000011010
31000112120222020002012112011120
4233300011013033123320122
5210011320002020214320
62022354140004510110
762143611240430230
oct5760050717337032
91015528202175146
10210012211101210
1160a09751183451
121b6799346ab336
1390250b322207b
1439c0906802950
151942d76051440
hexbf01473dbe1a

210012211101210 has 128 divisors (see below), whose sum is σ = 579563031674880. Its totient is φ = 47708854369536.

The previous prime is 210012211101179. The next prime is 210012211101221. The reversal of 210012211101210 is 12101112210012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 210012211101210.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104470351 + ... + 106461629.

It is an arithmetic number, because the mean of its divisors is an integer number (4527836184960).

Almost surely, 2210012211101210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210012211101210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289781515837440).

210012211101210 is an abundant number, since it is smaller than the sum of its proper divisors (369550820573670).

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

210012211101210 is a wasteful number, since it uses less digits than its factorization.

210012211101210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994372.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 210012211101210 its reverse (12101112210012), we get a palindrome (222113323311222).

The spelling of 210012211101210 in words is "two hundred ten trillion, twelve billion, two hundred eleven million, one hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 173 210 346 519 865 1038 1211 1730 2422 2595 2903 3633 5190 5806 6055 7266 8709 12110 14515 17418 18165 20321 29030 36330 40642 43545 60963 87090 101605 121926 203210 304815 502219 609630 1004438 1506657 1991279 2511095 3013314 3515533 3982558 5022190 5973837 7031066 7533285 9956395 10546599 11947674 13938953 15066570 17577665 19912790 21093198 27877906 29869185 35155330 41816859 52732995 59738370 69694765 83633718 105465990 139389530 209084295 344491267 418168590 688982534 1033473801 1722456335 2066947602 2411438869 3444912670 4822877738 5167369005 5780682937 7234316607 10334738010 11561365874 12057194345 14468633214 17342048811 24114388690 28903414685 34684097622 36171583035 40464780559 57806829370 72343166070 80929561118 86710244055 121394341677 173420488110 202323902795 242788683354 404647805590 606971708385 1000058148101 1213943416770 2000116296202 3000174444303 5000290740505 6000348888606 7000407036707 10000581481010 14000814073414 15000872221515 21001221110121 30001744443030 35002035183535 42002442220242 70004070367070 105006105550605 210012211101210