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1102313230200 = 23325271319438237
BaseRepresentation
bin10000000010100110111…
…111010000111101111000
310220101021002211001000100
4100002212333100331320
5121030014141331300
62202221250035400
7142432230600630
oct20024677207570
93811232731010
101102313230200
11395541099096
12159776578b60
137cc42103340
143b4d07bb6c0
151da18ad7700
hex100a6fd0f78

1102313230200 has 1152 divisors, whose sum is σ = 4908160857600. Its totient is φ = 215184936960.

The previous prime is 1102313230171. The next prime is 1102313230211. The reversal of 1102313230200 is 20323132011.

1102313230200 is a `hidden beast` number, since 1 + 1 + 0 + 231 + 3 + 230 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 133820482 + ... + 133828718.

It is an arithmetic number, because the mean of its divisors is an integer number (4260556300).

Almost surely, 21102313230200 is an apocalyptic number.

1102313230200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102313230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2454080428800).

1102313230200 is an abundant number, since it is smaller than the sum of its proper divisors (3805847627400).

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

1102313230200 is a wasteful number, since it uses less digits than its factorization.

1102313230200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8341 (or 8329 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1102313230200 its reverse (20323132011), we get a palindrome (1122636362211).

The spelling of 1102313230200 in words is "one trillion, one hundred two billion, three hundred thirteen million, two hundred thirty thousand, two hundred".