Search a number
-
+
1085083405210 = 25732731115837
BaseRepresentation
bin11111100101001000000…
…00101100101110011010
310211201210022212020111001
433302210000230232122
5120234222322431320
62150251435055214
7141252243523000
oct17624400545632
93751708766431
101085083405210
113891aa326602
121563682a150a
137b42761251c
143a738394a70
151d35b16420a
hexfca402cb9a

1085083405210 has 64 divisors (see below), whose sum is σ = 2278579795200. Its totient is φ = 371889161280.

The previous prime is 1085083405193. The next prime is 1085083405229. The reversal of 1085083405210 is 125043805801.

It is a self number, because there is not a number n which added to its sum of digits gives 1085083405210.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9309412 + ... + 9425248.

It is an arithmetic number, because the mean of its divisors is an integer number (35602809300).

Almost surely, 21085083405210 is an apocalyptic number.

1085083405210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1085083405210 is an abundant number, since it is smaller than the sum of its proper divisors (1193496389990).

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

1085083405210 is a wasteful number, since it uses less digits than its factorization.

1085083405210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118596 (or 118582 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The spelling of 1085083405210 in words is "one trillion, eighty-five billion, eighty-three million, four hundred five thousand, two hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 343 490 686 1715 2731 3430 5462 13655 19117 27310 38234 95585 115837 133819 191170 231674 267638 579185 669095 810859 936733 1158370 1338190 1621718 1873466 4054295 4683665 5676013 8108590 9367330 11352026 28380065 39732091 56760130 79464182 198660455 316350847 397320910 632701694 1581754235 2214455929 3163508470 4428911858 11072279645 15501191503 22144559290 31002383006 77505957515 108508340521 155011915030 217016681042 542541702605 1085083405210