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112202011000 = 23531959101991
BaseRepresentation
bin110100001111111000…
…0101101000101111000
3101201121112212201121001
41220133300231011320
53314242203323000
6123313410254344
711051320233412
oct1503760550570
9351545781531
10112202011000
1143648123612
12198b42873b4
13a7717839b1
1456058259b2
152dba5b046a
hex1a1fc2d178

112202011000 has 256 divisors, whose sum is σ = 284124672000. Its totient is φ = 41342400000.

The previous prime is 112202010967. The next prime is 112202011001. The reversal of 112202011000 is 110202211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112202011001) 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 63 ways as a sum of consecutive naturals, for example, 113220505 + ... + 113221495.

It is an arithmetic number, because the mean of its divisors is an integer number (1109862000).

Almost surely, 2112202011000 is an apocalyptic number.

112202011000 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 112202011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142062336000).

112202011000 is an abundant number, since it is smaller than the sum of its proper divisors (171922661000).

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

112202011000 is a wasteful number, since it uses less digits than its factorization.

112202011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 112202011000 its reverse (110202211), we get a palindrome (112312213211).

The spelling of 112202011000 in words is "one hundred twelve billion, two hundred two million, eleven thousand".