Search a number
-
+
11201210002010 = 25721031791239877
BaseRepresentation
bin1010001011111111110000…
…1001001010101001011010
31110122211021120202211112002
42202333330021022221122
52432010034230031020
635453433112121002
72234155266034100
oct242777411125132
943584246684462
1011201210002010
113629452038576
12130aa52696162
1363336732a142
142aa1da22bc70
15146580e92975
hexa2ffc24aa5a

11201210002010 has 96 divisors (see below), whose sum is σ = 23813989580160. Its totient is φ = 3781879694208.

The previous prime is 11201210001977. The next prime is 11201210002123. The reversal of 11201210002010 is 1020001210211.

It is a junction number, because it is equal to n+sod(n) for n = 11201210001982 and 11201210002000.

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 47 ways as a sum of consecutive naturals, for example, 8414192 + ... + 9654068.

It is an arithmetic number, because the mean of its divisors is an integer number (248062391460).

Almost surely, 211201210002010 is an apocalyptic number.

11201210002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11201210002010 is an abundant number, since it is smaller than the sum of its proper divisors (12612779578150).

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

11201210002010 is a wasteful number, since it uses less digits than its factorization.

11201210002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240180 (or 1240173 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11201210002010 its reverse (1020001210211), we get a palindrome (12221211212221).

The spelling of 11201210002010 in words is "eleven trillion, two hundred one billion, two hundred ten million, two thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 103 179 206 245 358 490 515 721 895 1030 1253 1442 1790 2506 3605 5047 6265 7210 8771 10094 12530 17542 18437 25235 36874 43855 50470 87710 92185 129059 184370 258118 645295 903413 1239877 1290590 1806826 2479754 4517065 6199385 8679139 9034130 12398770 17358278 43395695 60753973 86791390 121507946 127707331 221937983 255414662 303769865 443875966 607539730 638536655 893951317 1109689915 1277073310 1553565881 1787902634 2219379830 3107131762 4469756585 6257659219 7767829405 8939513170 10874961167 12515318438 15535658810 21749922334 22859612249 31288296095 45719224498 54374805835 62576592190 108749611670 114298061245 160017285743 228596122490 320034571486 800086428715 1120121000201 1600172857430 2240242000402 5600605001005 11201210002010