Search a number
-
+
1002112330200 = 233523163118537
BaseRepresentation
bin11101001010100101000…
…11001010100111011000
310112210121221010220202220
432211102203022213120
5112404311224031300
62044210345024040
7132254164156062
oct16452243124730
93483557126686
101002112330200
11356aa2315933
12142271485020
1373663ab2a77
1436706bc2732
151b101e16da0
hexe9528ca9d8

1002112330200 has 192 divisors, whose sum is σ = 3207643269120. Its totient is φ = 258538368000.

The previous prime is 1002112330171. The next prime is 1002112330229. The reversal of 1002112330200 is 20332112001.

It is an interprime number because it is at equal distance from previous prime (1002112330171) and next prime (1002112330229).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1002112330200.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 117380332 + ... + 117388868.

It is an arithmetic number, because the mean of its divisors is an integer number (16706475360).

Almost surely, 21002112330200 is an apocalyptic number.

1002112330200 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 1002112330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603821634560).

1002112330200 is an abundant number, since it is smaller than the sum of its proper divisors (2205530938920).

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

1002112330200 is a wasteful number, since it uses less digits than its factorization.

1002112330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14898 (or 14889 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1002112330200 its reverse (20332112001), we get a palindrome (1022444442201).

The spelling of 1002112330200 in words is "one trillion, two billion, one hundred twelve million, three hundred thirty thousand, two hundred".