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112242411000 = 233253101123479
BaseRepresentation
bin110100010001000101…
…0110100010111111000
3101201201100220020222100
41220202022310113320
53314333024123000
6123321412223400
711052320515566
oct1504212642770
9351640806870
10112242411000
1143668a07745
121990590ab60
13a779c5a615
14560ad40a36
152dbdde0a00
hex1a222b45f8

112242411000 has 192 divisors, whose sum is σ = 383138683200. Its totient is φ = 29634720000.

The previous prime is 112242410981. The next prime is 112242411011. The reversal of 112242411000 is 114242211.

112242411000 is a `hidden beast` number, since 1 + 12 + 242 + 411 + 0 + 0 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 847261 + ... + 970739.

It is an arithmetic number, because the mean of its divisors is an integer number (1995513975).

Almost surely, 2112242411000 is an apocalyptic number.

112242411000 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 112242411000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191569341600).

112242411000 is an abundant number, since it is smaller than the sum of its proper divisors (270896272200).

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

112242411000 is a wasteful number, since it uses less digits than its factorization.

112242411000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123607 (or 123590 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112242411000 its reverse (114242211), we get a palindrome (112356653211).

The spelling of 112242411000 in words is "one hundred twelve billion, two hundred forty-two million, four hundred eleven thousand".