Search a number
-
+
11201110210010 = 257477949098779
BaseRepresentation
bin1010001011111111011000…
…1100011111010111011010
31110122211000121222212122002
42202333312030133113122
52432004333203210020
635453415145201002
72234152644566240
oct242776614372732
943584017885562
1011201110210010
113629400779346
12130aa25190162
1363334c75a216
142aa1cac92790
1514657732e975
hexa2ff631f5da

11201110210010 has 128 divisors (see below), whose sum is σ = 23837995008000. Its totient is φ = 3709913695488.

The previous prime is 11201110210009. The next prime is 11201110210013. The reversal of 11201110210010 is 1001201110211.

It is a junction number, because it is equal to n+sod(n) for n = 11201110209973 and 11201110210000.

It is not an unprimeable number, because it can be changed into a prime (11201110210013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1275893801 + ... + 1275902579.

It is an arithmetic number, because the mean of its divisors is an integer number (186234336000).

Almost surely, 211201110210010 is an apocalyptic number.

11201110210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11201110210010 is an abundant number, since it is smaller than the sum of its proper divisors (12636884797990).

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

11201110210010 is a wasteful number, since it uses less digits than its factorization.

11201110210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13828.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11201110210010 its reverse (1001201110211), we get a palindrome (12202311320221).

The spelling of 11201110210010 in words is "eleven trillion, two hundred one billion, one hundred ten million, two hundred ten thousand, ten".

Divisors: 1 2 5 7 10 14 35 47 70 79 94 158 235 329 395 470 553 658 790 1106 1645 2765 3290 3713 4909 5530 7426 8779 9818 17558 18565 24545 25991 34363 37130 43895 49090 51982 61453 68726 87790 122906 129955 171815 230723 259910 307265 343630 387811 412613 461446 614530 693541 775622 825226 1153615 1387082 1615061 1939055 2063065 2307230 2714677 2888291 3230122 3467705 3878110 4126130 4854787 5429354 5776582 6935410 8075305 9709574 13573385 14441455 16150610 18227117 24273935 27146770 28882910 32596427 36454234 43096111 48547870 65192854 86192222 91135585 127589819 162982135 182271170 215480555 228174989 255179638 301672777 325964270 430961110 456349978 603345554 637949095 1140874945 1275898190 1508363885 2025517217 2281749890 3016727770 3404592769 4051034434 6809185538 10127586085 14178620519 17022963845 20255172170 23832149383 28357241038 34045927690 47664298766 70893102595 119160746915 141786205190 160015860143 238321493830 320031720286 800079300715 1120111021001 1600158601430 2240222042002 5600555105005 11201110210010