Search a number
-
+
1000210111092 = 223235985139091
BaseRepresentation
bin11101000111000010010…
…10110001101001110100
310112121201100210011201100
432203201022301221310
5112341412242023332
62043253513530100
7132156065444553
oct16434112615164
93477640704640
101000210111092
11356206594525
12141a20413930
137341c98312a
14365a62dbd9a
151b03ee1b67c
hexe8e12b1a74

1000210111092 has 72 divisors (see below), whose sum is σ = 2535928274880. Its totient is φ = 332399047680.

The previous prime is 1000210111039. The next prime is 1000210111093. The reversal of 1000210111092 is 2901110120001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000210111093) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 110017467 + ... + 110026557.

It is an arithmetic number, because the mean of its divisors is an integer number (35221226040).

Almost surely, 21000210111092 is an apocalyptic number.

1000210111092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000210111092 is an abundant number, since it is smaller than the sum of its proper divisors (1535718163788).

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

1000210111092 is a wasteful number, since it uses less digits than its factorization.

1000210111092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17973 (or 17968 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1000210111092 its reverse (2901110120001), we get a palindrome (3901320231093).

The spelling of 1000210111092 in words is "one trillion, two hundred ten million, one hundred eleven thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 359 718 1077 1436 2154 3231 4308 6462 8513 9091 12924 17026 18182 25539 27273 34052 36364 51078 54546 76617 81819 102156 109092 153234 163638 306468 327276 3056167 3263669 6112334 6527338 9168501 9791007 12224668 13054676 18337002 19582014 27505503 29373021 36674004 39164028 55011006 58746042 77391683 110022012 117492084 154783366 232175049 309566732 464350098 696525147 928700196 1393050294 2786100588 27783614197 55567228394 83350842591 111134456788 166701685182 250052527773 333403370364 500105055546 1000210111092