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111105426432 = 21037111336131
BaseRepresentation
bin110011101111001100…
…1100100010000000000
3101121210010110110100210
41213132121210100000
53310020442121212
6123012514514120
711012203354020
oct1473631442000
9347703413323
10111105426432
1143135131380
1219648b95940
13a62852a7a0
14553dd35a80
152d541a153c
hex19de664400

111105426432 has 352 divisors, whose sum is σ = 397620808704. Its totient is φ = 26637926400.

The previous prime is 111105426401. The next prime is 111105426433. The reversal of 111105426432 is 234624501111.

It is a tau number, because it is divible by the number of its divisors (352).

It is a self number, because there is not a number n which added to its sum of digits gives 111105426432.

It is not an unprimeable number, because it can be changed into a prime (111105426433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3057007 + ... + 3093137.

Almost surely, 2111105426432 is an apocalyptic number.

111105426432 is a gapful number since it is divisible by the number (12) 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 111105426432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198810404352).

111105426432 is an abundant number, since it is smaller than the sum of its proper divisors (286515382272).

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

111105426432 is a wasteful number, since it uses less digits than its factorization.

111105426432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36185 (or 36167 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 111105426432 its reverse (234624501111), we get a palindrome (345729927543).

The spelling of 111105426432 in words is "one hundred eleven billion, one hundred five million, four hundred twenty-six thousand, four hundred thirty-two".